Question

Select the three equations that pass through the points (-4, -16) and (5,2).

Answer 1

Answer:

The equation of the line is $y-2 = 2(x - 5)$, that passes through points $(-4, -16)\ and\ (5,2)$

Step-by-step explanation:

Given points are $(-4, -16)\ and\ (5,2)$

We need to write the equation of the line that passes through these points

First, we will find slope of this line

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-(-16)}{5-(-4)}\\\\m=\frac{2+16}{5+4}\\\\m=\frac{18}{9}=2$

So, our slope is $2$. Now, we will plug the point $(5,2)$ in the equation below.

$(y-y_1)=m(x-x_1)\\y-2=2(x-5)$

So, the equation of the line is $y-2 = 2(x - 5)$.

Answer 2

Answer:

It's B,C,D

Step-by-step explanation: