Answer:
[tex]\large\boxed{b)\ y=\dfrac{3}{4}x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b = y-intercpt → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]
Finally we have the equation:
[tex]y=\dfrac{3}{4}x-1[/tex]
