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

1 Answer

Mar 15, 2017

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

Explanation:

If the two points are $(a_{1}, b_{1})$ $(a_1,b_1)$ and $(a_{2}, b_{2})$ $(a_2,b_2)$
then the slope-point equation is
$XXX y = \frac{b_{2} - b_{1}}{a_{2} - a_{1}} \cdot (x - a_{1}) + b_{1}$ $color(white)("XXX")y=(b_2-b_1)/(a_2-a_1) * (x-a_1) +b_1$

So the y-intercept would be
$XXX y = b_{1} - a_{1} (\frac{b_{2} - b_{1}}{a_{2} - a_{1}})$ $color(white)("XXX")y=b_1-a_1((b_2-b_1)/(a_2-a_1))$

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