Question

Write an equation in point-slope form of the line that passes through the point (0,8) and has a slope of (-5/2).

Answer 1

Answer:  y  =  - ⁵/₂ x  +  8    OR   y - 8 =  -⁵/₂ x

Step-by-step explanation:

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 =  -⁵/₂ (x - 0)  

                                      y - 8 =  -⁵/₂ x

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

                                since  y - 8 =  - ⁵/₂ x

                                        ⇒     y  =  - ⁵/₂ 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.