Question

Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

Answer: y + 9 = -10/11 (x- 5)

Step-by-step explanation:

To find the slope form of the equation, we need to first find the slope.

Given;

x₁=5 y₁ = -9 x₂ = -6 y₂ =1

slope(m) = y₂ - y₁ / x₂ - x₁

= 1-(-9) / -6-5

= 10/-11

m = -10/11

We can now proceed to find the equation.

equation of a straigt line;

y - y₁ = m (x - x₂)

y - (-9) = -10/11 (x - 5)

y + 9 = -10/11 (x - 5)

Answer 2

Slope of the line m   = (-9 - 1) / ( 5 - -6) =  -10/11

point slope form is  y - (-9) = (-10/11) ( x -  5)

y + 9 = (-10/11) ( x - 5)