Question

This table gives a few (x,y) pairs of a line in the coordinate plane.(34, -52), (51,-65), (68, -78).What is the y-intercept of the line?

Answer 1

Answer:

(0,-26)

Step-by-step explanation:

Write the equation of the line in the slope-intercept form:

1. The slope of the line is

$\dfrac{-65-(-52)}{51-34}=-\dfrac{13}{17}$

2. The equation of the line is

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

Now, find the y-intercept, substitute x = 0:

$y=-\dfrac{13}{17}\cdot 0-26\\ \\y=-26$