Question

Write the equation of the line that passes through the point (2, -9) and has a slope of -5.

Answer 1

Answer:

           y = -5x + 1    

Step-by-step explanation:

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = -5

(2, -9)    ⇒    x₁ = 2,  y₁ = -9

So:

y - (-9) = -5(x - 2)      ← the point-slope form of the equation

y + 9 = -5x + 10               {subtract 9 from both sides}

y = -5x + 1                  ← the slope-intercept form of the equation