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

1 Answer
Mar 15, 2017

Answer:

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))#