The slope-intercept form of a linear equation follows the pattern below:
in which m = slope and b = y-intercept.
In the given equation, y = -3/4x - 5. this is already in a slope-intercept form wherein the slope is -3/4 while the y-intercept is -5.
So, let's first plot the y-intercept at (0, -5).
Then, since the slope is -3/4, let's find another point on the graph that is 3 units upward and 4 units to the left of the point (blue line) OR 3 units downward and 4 units to the right of the point (green line).
Then, connect these points using a straight line. The graph of the given equation y = -3/4x - 5 is shown below.