Question

graph the following features:

• y-intercept = 4
• slope = 3

Explanation:

Step1: Write line equation (slope-intercept)

The slope-intercept form is $y = mx + b$, where $m=3$ (slope) and $b=4$ (y-intercept).
$y = 3x + 4$

Step2: Plot y-intercept point

The y-intercept is at $x=0$, $y=4$, so the point is $(0, 4)$.

Step3: Use slope to find second point

Slope $\frac{\Delta y}{\Delta x} = \frac{3}{1}$. From $(0,4)$, move 1 right ($x=1$) and 3 up ($y=4+3=7$), giving the point $(1, 7)$.

Step4: Draw line through points

Connect $(0, 4)$ and $(1, 7)$, extend across the grid.

Answer:

The line $y = 3x + 4$ is graphed by plotting the y-intercept $(0, 4)$, using the slope to find a second point $(1, 7)$, and drawing a straight line through these points (extending across the coordinate grid).