Question

10. Wnte an equation in point-slope form for the lne through the given point with the given slope.

(-3,-5);m=-2/5

A. Y+5=-2/5(x+3)

B. Y+5=(-2/5)x-3

C. Y-5=-2/5(x+3)

D. Y-5=-2/5(x-3

Answer 1

We conclude that an equation in the point-slope form will be:

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

Hence, option A is true.

Explanation:

We know that the point-slope form of the line equation is

`y-y_1=m\left(x-x_1\right)`

where m is the slope of the line and (x₁, y₁) is the point

Given

• point (-3, -5)

• slope m = -2/5

substituting the values m = -2/5 and the point (-3, -5) in the point-slope form of the line equation

`y-y_1=m\left(x-x_1\right)`

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

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

Therefore, we conclude that an equation in the point-slope form will be:

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

Hence, option A is true.