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

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 at $(0, 1)$; mark this point on the graph.

Step3: Use slope for second point

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

Step4: Draw the line

Connect the two points and extend the line across the coordinate plane.

Answer:

The line $y=3x+1$ is graphed by plotting $(0,1)$ and $(1,4)$, then drawing a straight line through them, extending it to cover the coordinate axes.