Write an equation for the line through (–3, –5) with slope m = –1 over 3.

Question

Write an equation for the line through (–3, –5) with slope m = –.

Answer 1

Because you are given a point and the slope you will use point-slope form which is

y- y₁ = m ( x - x₁)

to get y -(-5) = -1/3 ( x - (-3))

simplifying you get y + 5 = -1/3 ( x + 3)

If they want the answer in slope intercept from you need to simplify this equation.

Multiply both sides by -3 to get. -3y -15 = x + 3

then add 15 to both sides to get -3y = x + 18

now divide everything by -3 to get y = -1/3 x -6