Answer: [tex]y=\frac{3}{5} x+3[/tex]
Step-by-step explanation:
To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).
[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]
Now that we know the slope, we can plug in any point to find the y-intercept.
[tex]3=\frac{3}{5} (0)+b[/tex] [multiply]
[tex]b=3[/tex]
Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].
