Question

5 directions - graph the following slope intercept equation: y = 5x

Explanation:

Step1: Identify slope-intercept form

The slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. For $y=5x$, this is equivalent to $y=5x+0$.

Step2: Extract slope and intercept

Slope $m=5$ (or $\frac{5}{1}$), y-intercept $b=0$, so the line crosses the y-axis at $(0,0)$.

Step3: Find a second point

Using the slope $\frac{\text{rise}}{\text{run}}=\frac{5}{1}$, from $(0,0)$, move 1 unit right and 5 units up to get the point $(1,5)$.

Step4: Graph the line

Draw a straight line through $(0,0)$ and $(1,5)$, extending infinitely in both directions.

Answer:

The graph is a straight line passing through the origin $(0,0)$ with a positive slope of 5, also passing through the point $(1,5)$.