Question

A line contains the points (-15,-8) and (9,13). Find the y-value of the y-intercept.
For example, if the y-intercept is (0,1/3), record 0.33.
9.
Write your answer solution rounded to two decimal places.

Answer 1

Answer:

The y-intercept is 5.12 or (0, 5.12)

Step-by-step explanation:

Use the two given points to find the slope

(-15, -8) (9, 13)

$m=\frac{y2-y2}{x2-x1}$

$m=\frac{13-(-8)}{9-(-15)}=\frac{21}{24}$

The use the slope and one of the given points to solve the slope-point formula

$y-y=m(x-x)$

$y-13=\frac{21}{24} (x-9)$

$y-13=\frac{21}{24} x-\frac{189}{24}$

$y=\frac{21}{24} +\frac{123}{24}$

The y-intercept is $\frac{123}{24}$ which is equivalent to 5.125