Write an equation in point slope form and in slope intercept form passing through (-8,-5) and parellel to the line whose equation is y=-2x+4

Question

Write an equation in point slope form and in slope intercept form passing through (-8,-5) and parellel to the line whose equation is y=-2x+4

Answer 1

Since the lines are parallel, the slopes are the same, m=-2

Using the equation:

(y-y₁)=m(x-x₁) and plugging in the point (-8,-5)

(y-(-5))=-2(x-(-8)) Simplify

y+5=-2(x+8) Distributive property

y+5=-2x-16 Subtract 5 from both sides

y+5=5=-2x-16-5

y=-2x-21