Question

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

Answer 1

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))`