Answer:
y=3/4x +7
Step-by-step explanation:
The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.
To find b, we can plug in the x,y, and given slope.
![4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7](https://tex.z-dn.net/?f=4%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%28%20-%204%29%20%2B%20b%20%20%5C%5C%20%204%20%3D%20%20-%203%20%2B%20b%20%5C%5C%20b%20%3D%207)
so now we can write b and m in the original equation.
which gives us, y =3/4x +7