a line passes through the points (-12, 14) and (15, 5). write its equation in slope - intercept form. write…

a line passes through the points (-12, 14) and (15, 5). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line passes through the points (-12, 14) and (15, 5). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Answer:

$y = -\frac{1}{3}x + 10$

Explanation:

Step1: Calculate the slope

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{5 - 14}{15-(-12)}=\frac{-9}{27}=-\frac{1}{3}$

Step2: Use point - slope form

$y - y_1=m(x - x_1)$, using the point $(-12,14)$: $y - 14=-\frac{1}{3}(x + 12)$

Step3: Convert to slope - intercept form

$y-14=-\frac{1}{3}x - 4$, then $y=-\frac{1}{3}x+10$