Question

Juliana plots the function y=0.5x-6 on a condinte plane, and Fiona plots the function y=-4+3 whitch of these correctly shows the functions that they plot as well as the solution to their systems of equations

Answer 1

The correct plot for Juliana's function is the line from (0,2) to (3,8). The correct plot for Fiona's function is the line from (0,3) to (3,3). The solution to their systems of equations is (-6, -9).

Step-by-step explanation:

The correct plot for the function y = 0.5x - 6 is the one on the left, which shows a line from (0,2) to (3,8). The correct plot for the function y = -4 + 3 is the one on the right, which shows a line from (0,3) to (3,3).

To find the solution to their systems of equations, we need to find the point of intersection of the two lines. Since both lines are linear, we can equate their y-values to find the x-value:

0.5x - 6 = -4 + 3

0.5x = -3

x = -6

Substituting this value into either equation, we can find the y-value:

y = 0.5(-6) - 6 = -9

Therefore, the solution to their systems of equations is (-6, -9).