Question

Y=1/2x + 3/4

Answer 1

to test the points, substitute the x-coordinate into the equation and if the value of y equals the y-coordinate then the point lies on the graph

(0, $\frac{1}{2}$) → y = 0 + $\frac{3}{4}$ = $\frac{3}{4}$ ≠ $\frac{1}{2}$

(0 , $\frac{3}{4}$) → y = $\frac{3}{4}$ ← on graph

($\frac{3}{4}$, 0) → y = $\frac{3}{8}$ + $\frac{3}{4}$ ≠ 0

($\frac{3}{4}$,$\frac{1}{2}$ → y = $\frac{3}{8}$ + $\frac{3}{4}$ ≠ $\frac{1}{2}$

($\frac{1}{2}$, 1) → y = $\frac{1}{4}$ + $\frac{3}{4}$ = 1 ← on graph

the points (0, $\frac{3}{4}$) and ($\frac{1}{2}$, 1) are on the graph