Respuesta :

From the graph, the y-intercept is the point (0,40). We can calculate the slope of the line, given two points, using the following formula

[tex]\begin{gathered} (x_1,y_1),(x_2,y_2)_{} \\ \Rightarrow m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]

In our case,

[tex]\begin{gathered} (x_1,y_1)=(0,40),(x_2,y_2)=(2,0) \\ \Rightarrow m=\frac{0-40}{2-0}=-20 \end{gathered}[/tex]

Therefore, the slope-intercept form of the equation of the line is

[tex]\begin{gathered} y=mx+b \\ \Rightarrow y=-20x+40 \end{gathered}[/tex]

The answer is y=-20x+40