Write the equation of the line in Slope intercept form

Question

(-2,5), slope: -6

Answer 1

Begin with Point-Slope Form.

y - y₁ = m(x - x₁)

Substitute the given point and slope.

y - 5 = - 6(x + 2)

Distribute.

y - 5 = - 6x - 12

Add 5 to both sides.

y = - 6x - 7

This is officially in slope-intercept form.

ANSWER: y = - 6x - 7

Answer 2

y = -6x + b

Plug in the point (-2,5) and solve for b.