Question

A line passes through the points (0, -8) and (5, 10). What is its equation in slope-intercep

Answer 1

Answer:    y = ¹⁸/₅ x  - 8

Step-by-step explanation:

         For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

        The question gives us two points, (0, -8) and (5, 10), 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)  

                                          =  (10 - (- 8)) ÷ (5 - 0)

                                          =   ¹⁸/₅  

Finding the Equation

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

                                  ⇒  y - (-8) =  ¹⁸/₅ (x - 0)

   we could also transform this into the slope-intercept form ( y = mx + c)

                                    since  y - (-8) =  ¹⁸/₅ (x - 0)

                                          ⇒     y + 8 =  ¹⁸/₅ x

                                                 

                                                 ∴  y = ¹⁸/₅ x  - 8

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