Answer:
[tex]m = -2[/tex]
Step-by-step explanation:
Given
[tex]y = mx - 4[/tex]
See attachment for graph
Required
Find m
From the graph, we have:
[tex](x,y) = (-4,4)[/tex] at point G
Substitute these values for x and y, respectively in: [tex]y = mx - 4[/tex]
[tex]4 = m * -4 - 4[/tex]
[tex]4 = -4m - 4[/tex]
Collect like terms
[tex]-4m=4+4[/tex]
[tex]-4m=8[/tex]
Solve for m
[tex]m = -2[/tex]