ANSWER
EXPLANATION
To graph this line, first, we have to rewrite the equation in slope-intercept form,
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
To do so, we have to solve the equation for y. In this case, we just have to divide both sides by 5,
[tex]\begin{gathered} \frac{5y}{5}=\frac{1x}{5}-\frac{25}{5} \\ \\ y=\frac{1}{5}x-5 \end{gathered}[/tex]
Now, we can identify that the slope of this function is 1/5, and its y-intercept is -5.
To graph a line we only need two points. The first point is the y-intercept - which is the point where the graph intersects the y-axis, so it occurs at (0, -5).
Then, to find a second point, we can use the slope. Starting from the y-intercept, we move 1 unit up and 5 units to the right, since the equation for the slope is,
[tex]m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}[/tex]
And there we draw a dot for the second point,
Finally, join those two points with a straight line and the graph is,
