Question

graph the equation
y = 3x + 5

use the graphing tool to graph the line

Explanation:

Step1: Identify y-intercept

The equation $y=3x+5$ is in slope-intercept form $y=mx+b$, where $b=5$. This gives the point $(0, 5)$.

Step2: Use slope to find 2nd point

Slope $m=3=\frac{3}{1}$. From $(0,5)$, move 1 right, 3 up: $(0+1, 5+3)=(1, 8)$.

Step3: Plot and connect points

Mark $(0,5)$ and $(1,8)$, draw a straight line through them extending across the grid.

Answer:

The line $y=3x+5$ is graphed by plotting the y-intercept $(0, 5)$, using the slope to find a second point $(1, 8)$, and drawing a straight line through these points.