Question

Help!!!! Plssss!!! ASAP

Answer 1

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

$\displaystyle y-b=\frac{d-b}{c-a}(x-a)$

We'll take the first two points P(34,-52) and Q(51,-65) to find

$y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26$

Let's verify if the third point is on the line:

$y=-\frac{13}{17}68-26=-52-26=-78$

It belongs to the line. To find the y-intercept of the line, we set x to 0

$y=-\frac{13}{17}(0)-26=-26$

The y-intercept is (0,-26)