Question

Consider this system of equations:

y= -1/2x + 41/2
3x – 4y = 12
Solve the system by graphing. Label each graph and the solution.
You can upload a picture/scan of your graph (on graph paper). Please ensure that
your graph, axes, and plotted points, including your solution, are labeled correctly.
Alternatively, you can use the graphing tool found here: Geogebra Classice and take
a snapshot of the graph that you create digitally.

Answer 1

To solve the system of equations by graphing, plot the lines represented by each equation and find the point of intersection.

Step-by-step explanation:

To solve the system of equations by graphing, we can start by graphing each equation separately. The first equation y = -1/2x + 41/2 can be rearranged to y = 9 + 3x. This equation represents a line with a y-intercept of 9 and a slope of 3, which means for every increase of 1 on the x-axis, y will increase by 3.

The second equation 3x – 4y = 12 can be rearranged to y = 3/4x - 3. This equation also represents a line, with a y-intercept of -3 and a slope of 3/4.

To graph these equations, plot multiple points for each equation and then connect them to create the lines. The point where the lines intersect represents the solution to the system of equations.