Answer:
(-5, -1)
Step-by-step explanation:
To plot the first equation [tex]y = -\frac{6}{5}x - 7[/tex], you need to find two points on its line. One point you could find is by plugging in 0 for x, so you would get y = 0 - 7 = -7.
[tex]y = -\frac{6}{5}(0)-7=-7[/tex]
Point 1: (0,-7)
You can easily find another point by setting x to -5, which would get you a y value that is on the graph and is easy to calculate.
[tex]y = -\frac{6}{5}(-5)-7 = 6-7=-1[/tex]
Point 2: (-5, -1)
To plot the second equation [tex]y = \frac{2}{5}x+1[/tex], just follow the steps for the first equation.
[tex]y=\frac{2}{5}(0)+1=1[/tex]
Point 3: (0, 1)
[tex]y = \frac{2}{5}(5)+1 = 2+1=3[/tex]
Point 4: (5, 3)
Plot the first line with points 1 and 2, and plot the second line with points 3 and 4.
You should get the solution of the system of equations at the intersection of the two lines at (-5, -1)
