Answer: y = (7/4)x + (3/4) in fraction form or y = 1.75x + 0.75 as decimals
Explanation:
We can start by writing the slope intercept form (y=mx+b) without the x and y values, but including the given slope (m)
y = (7/4)x + b
Now we can add the values we know x= -5 and y=-8
-8 = (7/4)(-5) + b
From there we solve for b, which will then be put into the slope intercept form of the equation.
-8 = -35/4 +b
-8 + 35/4 = b
-8/1 + 35/4 = b
-32/4 + 35/4 = b
3/4 = b
So, y= (7/4)x + (3/4)
7/3 = 1.75 and 3/4 = .75 for the decimal forms