Question

graph this line using the slope and y - intercept: y = -\frac{1}{5}x click to select points on the graph.

Explanation:

Step1: Identify the slope and y - intercept

The equation is in the form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. For $y=-\frac{1}{5}x$, the slope $m =-\frac{1}{5}$ and the y - intercept $b = 0$.

Step2: Plot the y - intercept

The y - intercept is 0, so plot the point $(0,0)$.

Step3: Use the slope to find another point

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

Step4: Draw the line

Draw a straight line passing through the points $(0,0)$ and $(5,-1)$.

Answer:

Graph a line passing through the points $(0,0)$ and $(5,-1)$.