What is an equation that goes through (-5, -4) and has a slope of -2 in y=mx+b formula?

Question

I’m confused and don’t know how to work through this.

Answer 1

Here you must use the point slope form. y - y₁ = m(x - x₁). So do y + 4 = -2(x + 5). Then factor the 2 into 2x + 10 and subtract four from both sides. y = 2x + 6. You can check this by substituting -5 for x and seeing if y = -4. y = 2(-5) + 6. y = -10 + 6, y = -4, so indeed y = 2x+6 is the correct answer!