Solve the system of linear equations by graphing.
y equals negative one half times x plus 3
y equals one half times x minus 2
a) one half comma negative 5
b) one half comma 5
c) 5 comma one half
d) negative 5 comma one half
To solve this system of equations by graphing, plot the two lines on the same graph.
First equation: y = -1/2x + 3
Plot the y-intercept of (0, 3), then use the slope to find another point. From (0, 3), the slope is -1/2, which means you go down 1 unit and then move to the right 2 units to get the point (2, 2).
Second equation: y = 1/2x - 2
Plot the y-intercept of (0, -2), then use the slope to find another point. From (0, -2), the slope is 1/2, which means you go up 1 unit and then move to the right 2 units to get the point (2, -1).
Now, connect these two points with straight lines.
The point at which the two lines intersect is the solution to the system of equations. From the graph, it looks like the intersection point is (2, 2), which is equal to 2 on the x-axis and 2 on the y-axis.
So the correct answer is: a) 2, 2