Question

this table gives a few (x, y) pairs of a line in the coordinate plane.

x	y
36	1
48	10

what is the y - intercept of the line?
( , )

Explanation:

Step1: Calculate the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1-(-8)}{36 - 24}=\frac{9}{12}=\frac{3}{4}$

Step2: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point $(24,-8)$ and $m = \frac{3}{4}$, we have $y+8=\frac{3}{4}(x - 24)$

Step3: Convert to slope - intercept form $y=mx + b$

$y+8=\frac{3}{4}x-18$, then $y=\frac{3}{4}x-26$

Answer:

$(0,-26)$