Graph the linear equation and determine its slope, if it exists.
-3x + 5y = 11

Question

Quizplus · Accepted Answer

To graph the linear equation, we need to rewrite it in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

3x + 5y = 11

5y = -3x + 11

y = (-3/5)x + (11/5)

This is now in slope-intercept form, where the slope is -3/5.

To graph this line, we can plot the y-intercept at (0, 11/5) and then use the slope to find another point.

Starting at (0, 11/5), we can use the slope of -3/5 to find another point by moving down 3 units and to the right 5 units. This gives us the point (5, 8/5).

Plotting these two points and drawing a straight line through them, we get:

A) 11ec89ad_06ec_9c1e_9d88_4582874f41d5_TB34225555_00

Graph the Linear Equation and Determine Its Slope, If It