A line passes through (−2, 5) and has slope 13 . What is an equation of the line in point-slope form?

y -5 = 13(x + 2)

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given:

Slope(m) = 13

Point(x1, y1): (-2, 5)

To write the equation in point-slope form, input the given values of the point and the slope into the equation format:

y - y1 = m(x - x1)

y - 5 = 13(x - (-2))

y -5 = 13(x + 2)

The equation in point-slope form is: y -5 = 13(x + 2).

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