a line passes through the points (-1, -18) and (3, 18). write its equation in slope - intercept form. write…

a line passes through the points (-1, -18) and (3, 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 (-1, -18) and (3, 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

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-1,-18)$ and $(x_2,y_2)=(3,18)$. So $m=\frac{18-(-18)}{3 - (-1)}=\frac{18 + 18}{3+1}=\frac{36}{4}=9$.

Step2: Find the y - intercept

Use the slope - intercept form $y=mx + b$ and substitute one of the points and the slope. Let's use the point $(3,18)$ and $m = 9$. Then $18=9\times3+b$. Solve for $b$: $18 = 27+b$, so $b=18 - 27=-9$.

Answer:

$y = 9x-9$