a line passes through the points (-3, 14) and (5, -18). write its equation in slope - intercept form. write…

a line passes through the points (-3, 14) and (5, -18). 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 (-3, 14) and (5, -18). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-3,14)$ and $(x_2,y_2)=(5,-18)$. Then $m=\frac{-18 - 14}{5-(-3)}=\frac{-32}{8}=- 4$.

Step2: Find the y - intercept $b$

Use the point - slope form $y - y_1=m(x - x_1)$ and then convert to slope - intercept form $y=mx + b$. Let's use the point $(-3,14)$ and $m=-4$. $y - 14=-4(x+3)$ $y - 14=-4x-12$ $y=-4x + 2$

Answer:

$y=-4x + 2$