how to find the equation of a line

how to find the equation of a line

If a line runs perpendicular to another line, it … The equation of a straight line can be written in many other ways. This image is **not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Then, add 3 to each side so y is by itself. For example, if you know the coordinate is (4, 3), your formula will read: y-3 = 2(x-4). Good job. ", "Thanks, wikiHow. The slope is undefined ... and where does it cross the Y-Axis? This leaves you with 5 = b, or, For example, the equation for the line with points on (3, 8) and (7, 12) is. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. Practice: Estimating equations of lines of best fit, and using them to make predictions. In this case, your slope, or m, equals 1. To learn how to find the equation of a line using 1 point, scroll down! The equation of a straight line is usually written this way: y = mx + b (or "y = mx + c" in the UK see below) What does it stand for? Include your email address to get a message when this question is answered. Top marks. She has taught math at the elementary, middle, high school, and college levels. helped me complete my MyMaths problems and to produce a set of revision notes about equations of lines. 1 November 2019. Read about our approach to external linking. **

Or we could choose another value for x, such as 7: Going from left-to-right, the cyclist has to Push on a Positive Slope: b = 0 that is why its equation is x = 1.5. We can find the equation of a straight line when given the gradient and a point on the line by using the formula: where \(m\) is the gradient and \((a,b)\) is on the line. We have been looking at the "slope-intercept" form. Math Teacher. Different Countries teach different "notation" (as sent to me by kind readers): ... but it all means the same thing, just different letters. Using the equation, set x equal to zero and solve for y to find the y-intercept, or set y equal to zero and solve for x to find the x-intercept. For example, if you know the slope of the line is 2, then your formula will look like this: In our example, first you’d use the distributive property to get y-3=2x-8.

Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in point slope and slope intercept forms Math Instructor, City College of San Francisco. References. Practice: Interpreting slope and y-intercept for linear models. Next, solve the formula to find the value of "b," which is the y-intercept. Thank you very much. What is the equation for a vertical line. Up Next. If the gradient is 3 and the y intercept is -5, is the equation y = 3x + -5? Then, plug the slope into the slope-intercept formula, or y = mx + b, where "m" is the slope and "x" and "y" are one set of coordinates on the line. To find the equation of a line using 2 points, start by finding the slope of the line by plugging the 2 sets of coordinates into the formula for slope. Expert Interview. There are two common situations where you are asked to find the equation for a line: either you'll be provided with one point on the line and the slope of the line, or you'll be provided two points on the line. The general equation of a straight line is \(y = mx + c\), where \(m\) is the gradient and \((0,c)\) the coordinates of the y-intercept. If you don't know the slope, you could have an infinite number of lines passing through a given point. We can find the equation of a straight line when given the gradient and a point on the line by using the formula: \ [y - b = m (x - a)\] where \ (m\) is the gradient and \ ((a,b)\) is on the line. ", http://www.coolmath.com/algebra/08-lines/11-finding-equation-line-point-slope-01, https://www.mathwarehouse.com/algebra/linear_equation/write-equation/equation-of-line-given-two-points.php, consider supporting our work with a contribution to wikiHow. Thanks to all authors for creating a page that has been read 810,340 times. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. We can find the equation of a straight line when given the gradient and a point on the line by using the, Find the equation of the line which passes through the points A(-2, 0) and B(1, 6) and state the gradient and, Completing the square in a quadratic expression, Applying the four operations to algebraic fractions, Determining the equation of a straight line, Working with linear equations and inequations, Determine the equation of a quadratic function from its graph, Identifying features of a quadratic function, Solving a quadratic equation using the quadratic formula, Using the discriminant to determine the number of roots, Religious, moral and philosophical studies. % of people told us that this article helped them. Another popular form is the Point-Slope Equation of a Straight Line. It, "I love the fact that it explains in a step-by-step method, as it's so easy to be bogged down with choices while, "Finally going back to school after 2 years, and this was very helpful to remember and refresh my math skills. Finding the equation for a line is a common problem in geometry and trigonometry. In either case, finding the equation for that line isn't difficult, provided you use the correct formula and work carefully. below), m = Slope or Gradient (how steep the line is), ... choose any value for x and find the matching value for y.

The first way is to solve for the equation of a line with one {\displaystyle (x,y)} point and the equation of a line that runs perpendicular to it. The equation of a straight line can be worked out using coordinates and the gradient, and vice versa. This article was co-authored by Grace Imson, MA. I had almost forgotten this part. ", doing these type of calculations. Next lesson. Express the equation in standard form, y = mx + b, where m is the slope, and b is the y-intercept.

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Or we could choose another value for x, such as 7: Going from left-to-right, the cyclist has to Push on a Positive Slope: b = 0 that is why its equation is x = 1.5. We can find the equation of a straight line when given the gradient and a point on the line by using the formula: where \(m\) is the gradient and \((a,b)\) is on the line. We have been looking at the "slope-intercept" form. Math Teacher. Different Countries teach different "notation" (as sent to me by kind readers): ... but it all means the same thing, just different letters. Using the equation, set x equal to zero and solve for y to find the y-intercept, or set y equal to zero and solve for x to find the x-intercept. For example, if you know the slope of the line is 2, then your formula will look like this: In our example, first you’d use the distributive property to get y-3=2x-8.

Just type numbers into the boxes below and the calculator (which has its own page here) will automatically calculate the equation of line in point slope and slope intercept forms Math Instructor, City College of San Francisco. References. Practice: Interpreting slope and y-intercept for linear models. Next, solve the formula to find the value of "b," which is the y-intercept. Thank you very much. What is the equation for a vertical line. Up Next. If the gradient is 3 and the y intercept is -5, is the equation y = 3x + -5? Then, plug the slope into the slope-intercept formula, or y = mx + b, where "m" is the slope and "x" and "y" are one set of coordinates on the line. To find the equation of a line using 2 points, start by finding the slope of the line by plugging the 2 sets of coordinates into the formula for slope. Expert Interview. There are two common situations where you are asked to find the equation for a line: either you'll be provided with one point on the line and the slope of the line, or you'll be provided two points on the line. The general equation of a straight line is \(y = mx + c\), where \(m\) is the gradient and \((0,c)\) the coordinates of the y-intercept. If you don't know the slope, you could have an infinite number of lines passing through a given point. We can find the equation of a straight line when given the gradient and a point on the line by using the formula: \ [y - b = m (x - a)\] where \ (m\) is the gradient and \ ((a,b)\) is on the line. ", http://www.coolmath.com/algebra/08-lines/11-finding-equation-line-point-slope-01, https://www.mathwarehouse.com/algebra/linear_equation/write-equation/equation-of-line-given-two-points.php, consider supporting our work with a contribution to wikiHow. Thanks to all authors for creating a page that has been read 810,340 times. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. We can find the equation of a straight line when given the gradient and a point on the line by using the, Find the equation of the line which passes through the points A(-2, 0) and B(1, 6) and state the gradient and, Completing the square in a quadratic expression, Applying the four operations to algebraic fractions, Determining the equation of a straight line, Working with linear equations and inequations, Determine the equation of a quadratic function from its graph, Identifying features of a quadratic function, Solving a quadratic equation using the quadratic formula, Using the discriminant to determine the number of roots, Religious, moral and philosophical studies. % of people told us that this article helped them. Another popular form is the Point-Slope Equation of a Straight Line. It, "I love the fact that it explains in a step-by-step method, as it's so easy to be bogged down with choices while, "Finally going back to school after 2 years, and this was very helpful to remember and refresh my math skills. Finding the equation for a line is a common problem in geometry and trigonometry. In either case, finding the equation for that line isn't difficult, provided you use the correct formula and work carefully. below), m = Slope or Gradient (how steep the line is), ... choose any value for x and find the matching value for y.

The first way is to solve for the equation of a line with one {\displaystyle (x,y)} point and the equation of a line that runs perpendicular to it. The equation of a straight line can be worked out using coordinates and the gradient, and vice versa. This article was co-authored by Grace Imson, MA. I had almost forgotten this part. ", doing these type of calculations. Next lesson. Express the equation in standard form, y = mx + b, where m is the slope, and b is the y-intercept.

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