Answer:
Point-Slope: y+1=-5/7(x-5)
Slope Intercept: y=-5/7x+ 2 4/7
Standard: -5x+7y=18
Explanation:
Slope: -5/7
Point slope is when the equation is in y-y1=m(x-x1) form.
I used the point (5,-1) but it really doesn't matter which one
Substitute it into (x1,y1)
y--1=-5/7(x-5)
y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**
Slope-intercept is when the equation is in y=mx+b form.
y=-5/7x+b
To solve for b, plug in one of the points (again, I choose to use (5,-1)
(-1)=-5/7(5)+b
-1=-25/7+b is equal to asking -1=-3 4/7+b
b=2 4/7
Standard form is when it is in Ax+By=C
We'll covert from slope intercept to standard: y=-5/7+ 2 4/7
y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)
7y=5x+18 **Multiply both sides by 7, the common denominators**
-5x+7y=18 **Subtract 5x from both sides**
Sorry it took it while to get everything down but I hope this helps~