Question

graph this line using the slope and y - intercept:
( y = \frac{1}{8}x + 5 )
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. For $y=\frac{1}{2}x+5$, $b=5$. So the y-intercept point is $(0, 5)$.

Step2: Use slope to find second point

Slope $m=\frac{1}{2}=\frac{\text{rise}}{\text{run}}$. From $(0,5)$, rise 1, run 2: $(0+2, 5+1)=(2,6)$.

Step3: Plot and draw the line

Plot points $(0,5)$ and $(2,6)$, then draw a straight line through them extending across the grid.

Answer:

Plot the points $(0, 5)$ and $(2, 6)$, then draw a straight line passing through these points to represent the line $y=\frac{1}{2}x+5$.