Question

Graph the line of equation $y=-\frac{2}{5}x-3$using its slope and y-intercept.

Short answer

The slope of equation $y=-\frac{2}{5}x-3$is $-\frac{2}{5}$and the y-intercept is $(0,-3)$.

The graph of equation is plotted below:

Step-by-step solution

Step 1. Given information

The equation of a line is given as$y=-\frac{2}{5}x-3$.

Step 2. Identify the slope of equation.

The slope intercept form is as $y=mx+b$where $m$is the slope and $(0,b)$is the y-intercept.

The slope of equation $y=-\frac{2}{5}x-3$is find by comparing with$y=mx+b$, so the slope is as$m=-\frac{2}{5}$.

Step 3. Identify the y-intercept.

The y-intercept of equation$y=-\frac{2}{5}x-3$is$(0,-3)$.

Step 4. Graph the equation y=-25x-3

The graph of equation $y=-\frac{2}{5}x-3$is plotted using the slope $-\frac{2}{5}$and y-intercept$(0,-3)$as shown below: