Answer:
[tex]y = -3x +8[/tex]
Step-by-step explanation:
The graph diagram is not given; however, the equation can be solved from the given points
(2,2) and (0,8)
This is represented as:
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (0,8)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8 - 2}{0 - 2}[/tex]
[tex]m = \frac{6}{- 2}[/tex]
[tex]m =-3[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 2 = -3(x - 2)[/tex]
[tex]y - 2 = -3x + 6[/tex]
Add 2 to both sides
[tex]y - 2 +2= -3x + 6+2[/tex]
[tex]y = -3x + 6+2[/tex]
[tex]y = -3x +8[/tex]
