Question

Help even tho it’s multiple choice make sure you are correct... I beg you lol

Answer 1

Answer:

The equation of the line is:

$y=(-\frac{1}{2})x+1$

Therefore, option a is the correct answer.

Step-by-step explanation:

Given the points

• (-2, 2)

• (4, -1)

Finding the slope

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:-1\right)$

$m=\frac{-1-2}{4-\left(-2\right)}$

$m=-\frac{1}{2}$

As the point-slope form of the equation of the line is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values $m=-\frac{1}{2}$ and the point (-2, 2)

$y-y_1=m\left(x-x_1\right)$

$y-2=\frac{-1}{2}\left(x-\left(-2\right)\right)$

$y-2=\frac{-1}{2}\left(x+2\right)$

$y-2=-\frac{1}{2}\left(x+2\right)$       ∵$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

Add 2 to both sides

$y-2+2=-\frac{1}{2}\left(x+2\right)+2$

$y=(-\frac{1}{2})x+1$

Hence, the equation of the line is:

$y=(-\frac{1}{2})x+1$

Therefore, option a is the correct answer.