To graph $y = - \frac { 2 } { 3 } x + 5$ using the slope and y -intercept,
A) you plot the y -intercept (0,5) and then move down 2 units and then move 3 units to the left.
B) you plot the y -intercept (0,5) and then move up 2 units and then move 3 units to the right.
C) you plot the y -intercept (0,5) and then move down 2 units and then move 3 units to the right.
D) you plot the y -intercept (5,0) and then move down 2 units and then move 3 units to the left.

Question

To graph $y = - \frac { 2 } { 3 } x + 5$ using the slope and y -intercept,
A) you plot the y -intercept (0,5) and then move down 2 units and then move 3 units to the left.
B) you plot the y -intercept (0,5)  and then move up 2 units and then move 3 units to the right.
C) you plot the y -intercept (0,5)  and then move down 2 units and then move 3 units to the right.
D) you plot the y -intercept (5,0)  and then move down 2 units and then move 3 units to the left.

Quizplus · Accepted Answer

The slope, $- \frac{2}{3}$, tells us to move down 2 units and then move 3 units to the right. Since the y-intercept is at (0,5), we plot that point first and then follow the slope to graph the line. Therefore, we plot (0,5) and then move down 2 units to (0,3) and then move 3 units to the right to the point (3,1). The line passes through (0,5) and (3,1).

To Graph y=−23x+5y = - \frac { 2 } { 3 } x + 5y=−32​x+5

To Graph $y = - \frac { 2 } { 3 } x + 5$