Answer:
![\large\boxed{b)\ y=(3)/(4)x-1}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1jvemh6o72bxrb25u5gzbq9njoupw9dmd8.png)
Explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
m - slope
b = y-intercpt → (0, b)
The formula of a slope:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fc06wy5n2hf2a0hmyba6df4ibmxk1cn53a.png)
We have the points (4, 2) and (0, -1) - y-intercept → b = -1.
(we see this already which equation. Only in b) y-intercept is b = -1).
Anyway, calculate the slope:
![m=(-1-2)/(0-4)=(-3)/(-4)=(3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5l6crjic5jcchyiwjw6iam1o9mv3dkauu0.png)
Finally we have the equation:
![y=(3)/(4)x-1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/noae6iy8sxnsczhoe2ril9cddbszf7ijry.png)