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.
Correct answer is the 3rd one.
The answer for this is (-2,-4) because the x axis is horizontal so it on the other side ( see picture )
Steps to solving equations:
Simplify/combine the like terms
Isolate the variable (Get the variable on one side
Solve for the variable
-2y - 7 + 5y = 13 - 2y Simplify/Combine terms
3y -7 = 13 - 2y Isolate variable by adding 2y to both sides
5y - 7 = 13 Add 7 to both sides to get y alone on one side
5y = 20 Divide by 5 on both sides to solve for y
y = 4
You can check your answer by replacing y with 4 in the original equation.
