Question

What is the equation of the line that passes through the point (-5,5)and has a slope of -1

Answer 1

y = - x

Explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5) ⇒ x₀ = -5, y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5 {add 5 to both sides}

y = -x ← the slope-intercept form of the equation