Answer:
y = 4/5x - 4
Step-by-step explanation:
First find the slope of the line we can do this by using the following equation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0--4}{5-0}=\frac{4}{5}[/tex]
Now let's use the equation equation of a line in terms of slope intercept form so that we can find our y-intercept.
[tex]y=mx+b[/tex] such that m is the slope and b is the y - intercept.
Let's plug in any point that is given, i'll use (5,0).
[tex]0=\frac{4}{5}(5)+b[/tex]
[tex]0=4+b[/tex] subtract 4 on both sides and we get:
[tex]b=-4[/tex]
Therefore the equation of the line is:
[tex]y=\frac{4}{5}x-4[/tex]
