Question

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

(-5, 3), m = -2

Answer 1

The equation of the line in point-slope form is y - 3 = -2(x + 5).

Step-by-step explanation:

The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given the point (-5, 3) and the slope m = -2, we can substitute these values into the point-slope form equation to get:

y - 3 = -2(x - (-5))

Now, simplify and rearrange the equation to obtain the final equation in point-slope form.

y - 3 = -2(x + 5)