Question

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

Answer 1

Answer:

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

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

Hence, option A is true.

Step-by-step 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.