Question

What is the slope of a line that passes through the points (9,-6) and (-8,7)?

Answer 1

Answer:    slope = - ¹³/₁₇  

Step-by-step explanation:    

       The question gives us two points, (9,-6) and (-8,7), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                         =  (7 - (- 6)) ÷ (-8 - 9)  

                                         =   - ¹³/₁₇  

Checking my answer:

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                 ⇒  y - (-6) =  - ¹³/₁₇ (x - 9)

                                         

       

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.