Question

graph the line.
y = -\frac{1}{5}x - 3

Explanation:

Step1: Identify the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{1}{5}x - 3$, $b=-3$. So the line crosses the y - axis at the point $(0,-3)$.

Step2: Identify the slope

The slope $m =-\frac{1}{5}$. This means for every 5 units we move to the right along the x - axis, we move 1 unit down along the y - axis. Starting from the y - intercept $(0,-3)$, if we move 5 units to the right (x = 5), then $y=-\frac{1}{5}(5)-3=-1 - 3=-4$. So another point on the line is $(5,-4)$.

Step3: Draw the line

Plot the points $(0,-3)$ and $(5,-4)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,-3)$ and $(5,-4)$ and draw a straight - line through them to graph $y =-\frac{1}{5}x - 3$.