Question

y = 0.5x + 1

Explanation:

Step1: Find y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=1$. So the line crosses the y-axis at $(0, 1)$.

Step2: Use slope to find second point

Slope $m=0.5=\frac{1}{2}$. From $(0,1)$, move 2 units right and 1 unit up to get $(2, 2)$.

Step3: Plot and connect points

Mark $(0,1)$ and $(2,2)$, then draw a straight line through them extending across the grid.

Answer:

The line $y=0.5x+1$ is graphed by plotting the y-intercept $(0, 1)$, using the slope $\frac{1}{2}$ to find a second point $(2, 2)$, and drawing a straight line through these points.