graph a line with the indicated slope and y - intercept. slope = $\frac{2}{5}$ and y - intercept (0,5) use…

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m=\frac{2}{5}$ and $b = 5$, the equation of the line is $y=\frac{2}{5}x+5$.

Step2: Plot the y - intercept

The y - intercept is the point $(0,5)$. So, plot the point $(0,5)$ on the coordinate plane.

Step3: Use the slope to find another point

The slope $m=\frac{2}{5}=\frac{\text{rise}}{\text{run}}$. From the point $(0,5)$, move 5 units to the right (run) and 2 units up (rise). This gives the point $(5,7)$.

Step4: Draw the line

Draw a straight line passing through the points $(0,5)$ and $(5,7)$.

Answer:

Graph a line passing through the points $(0,5)$ and $(5,7)$.