Answer:
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You need to plot each line and see where they intersect.
Line 1: y = x+2
Plot the y-intercept (0,2) because of the +2 in the equation.
From (0,2), count "up 1, right 1" to get a second point, because the slope is 1.
From that new point, repeat the "up 1, right 1" to plot a third point.
Connect the dots to make your line.
Line 2: y = -1/3 x - 2
Repeat the same process, using the the y-intercept and slope for this line.
Then identify where they intersect.
It is B because yiu solve
point slope form
y-y1 = m(x-x1)
y-9 = 2(x-1)
change to slope intercept form
y-9 = 2(x-1)
distribute
y-9 = 2x-2
add 9 to each side
y = 2x-2+9
y = 2x+7
3x + 2 = 5x - 8
Flip
5x - 8 = 3x + 2
Subtract both sides by 3x
2x - 8 = 2
Add both sides by 8
2x = 10
Divide both sides by 2
x = 5
That's your answer.
Have an awesome day! :)
From your friendly Helper-in-Training, collinjun0827