Question

graph the following features: • slope = 3 • y-intercept = 1

Explanation:

Step1: Write line equation

Using slope-intercept form $y=mx+b$, where $m=3$ (slope) and $b=1$ (y-intercept):
$y=3x+1$

Step2: Plot y-intercept

The y-intercept is $(0,1)$; mark this point on the graph.

Step3: Use slope for 2nd point

Slope $\frac{\Delta y}{\Delta x}=3=\frac{3}{1}$. From $(0,1)$, move 1 right, 3 up to $(1,4)$; mark this point.

Step4: Draw the straight line

Connect $(0,1)$ and $(1,4)$, extend the line across the grid.

Answer:

The line $y=3x+1$ is graphed by plotting the y-intercept $(0,1)$, using the slope to find a second point $(1,4)$, then drawing a straight line through these points and extending it across the coordinate grid.