Given the coordinates of 2 points on a line, how do you find the y-intercept?

1 Answer
Alan P.
Mar 15, 2017

Use the two given points to generate a slope-point equation,
then substitute 0 for x to find the value of the y-intercept

Explanation:

If the two points are (a_1,b_1) and (a_2,b_2)
then the slope-point equation is
color(white)("XXX")y=(b_2-b_1)/(a_2-a_1) * (x-a_1) +b_1

So the y-intercept would be
color(white)("XXX")y=b_1-a_1((b_2-b_1)/(a_2-a_1))

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