2 Answers

Dragan Okanovic · Answer 1 · 2024-02-17T09:05:41+0000

Step-by-step explanation:

Use the slope formula

$m = \frac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}$

on the two points (-4,-4) and (4,5) to find that the slope is m = 9/8.

It means "go up 9, then go right 8".

Right away we can conclude that choice C is the answer since it's the only answer choice with slope 9/8.

Point slope form is
$\text{y}-\text{y}_1 = \text{m}(\text{x}-\text{x}_1)$

If you plugged the coordinates of (-4,-4) into the formula above, then you should end up with
$\text{y}+4 = (9)/(8)(\text{x}+4)$

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