Question

I NEED MEGA HELP WITH THIS QUESTION

Answer 1

Answer:

C. $y = - \frac{1}{4} x - 2$

Step-by-step explanation:

To find slope using coordinates, use the formula above.

$(4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4}$

Now, using the $y = mx + b$ formula, plug in $- \frac{1}{4}$ as $m$ (slope) and either coordinate as the $x$ and $y$ values. It looks like this:

$- 3 = - \frac{1}{4}(4) + b$

To solve for $b$, continue to use PEMDAS.

$- 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b$

Now use $m$ and $b$ to solve for your equation:

$y = - \frac{1}{4} x - 2$

The answer is C.