Answer:
C. [tex]y = - \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
To find slope using coordinates, use the formula above.
[tex](4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4} [/tex]
Now, using the [tex]y = mx + b[/tex] formula, plug in [tex] - \frac{1}{4} [/tex] as [tex]m[/tex] (slope) and either coordinate as the [tex]x[/tex] and [tex]y[/tex] values. It looks like this:
[tex] - 3 = - \frac{1}{4}(4) + b[/tex]
To solve for [tex]b[/tex], continue to use PEMDAS.
[tex] - 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b[/tex]
Now use [tex]m[/tex] and [tex]b[/tex] to solve for your equation:
[tex]y = - \frac{1}{4} x - 2[/tex]
The answer is C.
