Question

graph the line with the equation y = 1/5x + 4.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=\frac{1}{5}x + 4$, when $x = 0$, $y=4$. So plot the point $(0,4)$.

Step2: Find another point using the slope

The slope $m=\frac{1}{5}=\frac{\text{rise}}{\text{run}}$. From the point $(0,4)$, move 1 unit up (rise) and 5 units to the right (run). We get to the point $(5,5)$.

Step3: Draw the line

Connect the points $(0,4)$ and $(5,5)$ with a straight line. This line represents the graph of the equation $y=\frac{1}{5}x + 4$.

Answer:

Graph a line passing through the points $(0,4)$ and $(5,5)$.