Question 1060018
We need to get this equation into slope-intercept form, y = mx + b.
Get everything except for "y" to the right side.

First, subtract 3 from both sides. 

5x - 15y = -3

you do not need to write 0 - 3 here since 0 - 3 is -3.

Subtract 5x from both sides.

-15y = -5x - 3

Divide by -15 on both sides.

y = (-5/-15)x - 3/-15

Simplify.

y = 1/3x + 1/5

This is now in y = mx + b form.

1/3 is our slope.

1/5 is our y-intercept.


First, plot the y-intercept (0,1/5) on a graph.

Then, use the slope rise/run to plot more points.

Go up one from the y-intercept and over to the right 3. Graph another point. Repeat until you run out of room.

Return to the y-intercept and do the OPPOSITE OF THE SLOPE to graph more points. Go down one and over to the left three. Graph another point. Repeat until your line is completed.