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

Question

(-10, -6); m=-5/8
(1 point)
A. y-6=-5/8(x-10)
B. y-6=-5/8(x+10)
C. y+6=-5/8(x+10)
D. y+10=-5/8(x+6)

Answer 1

We can use the point-slope form formula:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the given point and m is the given slope.

Substituting in the values, we get:

y - (-6) = (-5/8)(x - (-10))

Simplifying, we get:

y + 6 = (-5/8)(x + 10)

Therefore, the equation in point-slope form for the given line is:

C. y + 6 = (-5/8)(x + 10)