Question

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

Answer 1

Slope: 3

Equation: y + 2 = 3(x + 1)

Explanation:

Find the slope using (-1, -2) and (0, 1):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (1 - (-2))/(0 - (-1)) = (3)/(1) = 3`

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)