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

Write an equation in pointslope form for the line that passes through the point with the given slope class=

Respuesta :

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)