Find the equation of tangent line using the point-slope form

Question

Point-slope form: (y, y₀) = M_T (x - x₀)

Given: (8,-2) and M_T = -1/4

If I am not mistaken, the solution goes like

(y+2) = -1/4 (x - 8)

However, what goes next? How do I get rid of the fraction? Or is there any way to get rid of it at all?

Answer 1

Multiply the equation by 4

4y + 8 = 8 - x

Collect terms

4y = -x

y=-x/4