Plot the line for the equation on the graphy,−5=3/2(x−2)

The equation of the line is:

y - 5 = 3/2 (x - 2)

Transforming the line into the slope intercept form:

y = 3x/2 - 3 + 5

y = 3x/2 + 2

The slope is 3/2 and the y-intercept is 2.

Plotting this on the graph can be done using these steps:

Locate the point (0,2) on the graph.

From (0,2), count 3 units up and 2 units to the left and indicate that point.

Finally, connect the two points and extend the line.