Answer:
[tex]y=\frac{5}{8}x-5[/tex]
Step-by-step explanation:
You're given two points, using that you can use the slope-finding formula:
[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]
After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:
[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]
5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.
[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]
You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!
Hope that helped!
-Bob Ross
