Question

Use the drawing tool(s) to form the correct answers on the provided graph.

Graph the system of equations given below on the provided graph.
Then, use the Mark Feature tool to plot the solution to the system.
Drawing Tools
Select
Mark Feature
Line
#
2x - 3y = -18
3x + y = -5
Click on a tool to begin drawing.
-10
-8
-6
-4
-2
10-
8
6
-2-
-8-
-10-
Delete Undo
8
Reset
10
MA

Answer 1

Graph the system of equations, 2x - 3y = -18 and 3x + y = -5, by converting them to slope-intercept form and plotting points. The intersection of the lines represents the solution to the system.

For the system of equations:

2x - 3y = -18

3x + y = -5

To graph these equations, follow these steps:

Convert each equation to slope-intercept form (y = mx + b).

Equation 1: y = (2/3)x + 6

Equation 2: y = -3x - 5

Plot the y-intercepts of both equations on the graph.

For Equation 1, the y-intercept is 6.

For Equation 2, the y-intercept is -5.

Use the slope to plot additional points on each line. For Equation 1, the slope is 2/3, and for Equation 2, the slope is -3.

Draw lines through the plotted points for both equations.

The point where the lines intersect is the solution to the system. If there's no intersection, the system has no solution.

If you have a specific point of intersection, you can mark it using the Mark Feature tool on your graphing software.