The equation of the graph is in the form of y =mx + c
where m = slope
and
c = y - intercept
from the graph the y - intercept is 5
so c = 5
The equation now becomes y = mx +5 after substitution but this not the required equation yet. We still need to find m
To find m we pick two points having coordinates of x and y and substitute them into the formular for the slope m
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} y_{2\text{ }}=5 \\ y_{1\text{ }}=2 \\ x_2=\text{ 0} \\ x_1=1 \end{gathered}[/tex][tex]m\text{ = }\frac{5-2}{0-1}=\frac{3}{-1}=\text{ -3}[/tex]
Equation of the line now finally becomes y = -3x + 5
