Write an equation in point-slope form for the line that passes through the point with the given slope.

Answer:
Slope: 3
Equation: y + 2 = 3(x + 1)
Step-by-step explanation:
Find the slope using (-1, -2) and (0, 1):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-2)}{0 - (-1)} = \frac{3}{1} = 3 [/tex]
Slope (m) = 3
The equation can be represented in point-slope form, y - b = m(x - a)
Where,
(-1, -2) = (a, b)
m = 3
Plug in the values into y - b = m(x - a)
y - (-2) = 3(x - (-1))
y + 2 = 3(x + 1)