Write an equation of the line below. please ) 70 points.

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 a graph with two highlighted points that we can use to find the slope and later the equation of the line: (6, 3) and (0, -1).

Finding the Slope  

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

                                          =  (3 - (-1)) ÷ (6 - 0)

                                          =  ²/₃

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line; where (x₁ , y₁) = (6, 3):

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

                     since y - 3 = ²/₃ (x - 6)

                               y - 3 = ²/₃ x - ²/₃ (6)

                                    y = ²/₃ x - 4 + 3

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