October 15, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Calculating equation of a line from point and intercept.

This mini-lesson explains how to determine the equation of a line from a point and an intercept. It also explains how to find the equation of a line for which both the x-intercept and the y-intercept are given.

Generally speaking, if y-intercept = c and point (a, b), then the equation is:

y = {(b - c)x}/a + c.

Note that if x-intercept = d and y-intercept = c, we can still use the above rule. If you think about the x-intercept which is d, it basically means the line passes through the point (d, 0). Hence, in this case, we have a line with y-intercept = c and passing through point (d, 0). Using the rule from above, the equation for this line is:

y = {(0 - c)x}/d + c , i.e., y = (-cx/d) + c.

This mini-lesson explains how to determine the equation of a line from a point and an intercept. It also explains how to find the equation of a line for which both the x-intercept and the y-intercept are given.

Generally speaking, if y-intercept = c and point (a, b), then the equation is:

y = {(b - c)x}/a + c.

Note that if x-intercept = d and y-intercept = c, we can still use the above rule. If you think about the x-intercept which is d, it basically means the line passes through the point (d, 0). Hence, in this case, we have a line with y-intercept = c and passing through point (d, 0). Using the rule from above, the equation for this line is:

y = {(0 - c)x}/d + c , i.e., y = (-cx/d) + c.

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

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