Question

Answer the following correctly

Answer 1

Answer:

$y = -\frac{10}{3}x - 23$

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3}$

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ $y = -\frac{10}{3}x + (-23)$

$y = -\frac{10}{3}x - 23$