Question

Graph each line with the given point and slope.

y-intercept 3 ;$m=-\frac{2}{5}$.

Short answer

The graph of the line is,

Step-by-step solution

Step 1. Given information

Given that the y-intercept of the line is 3 and slope is$-\frac{2}{5}$.

Graph of the line.

Since the y-intercept is 3, therefore the line passes through the point $(0,3)$.

Since the slope is $m=-\frac{2}{5}$, therefore for each increase in value of x by 5 units, y is decreased by 2 units. So another point on the given line is, $(5,1)$

Now the graph of the line is,