To graph the system of equations, we will plot the two lines y=x+2 and y=-x+4 on the same set of axes.
Looking at the first equation y=x+2, we see that the y-intercept is 2 and the slope is 1.
Looking at the second equation y=-x+4, we see that the y-intercept is 4 and the slope is -1.
Now, let's plot these lines on a graph:
1. Plot the y-intercept of the first equation at (0,2), and then use the slope of 1 to find another point. Drawing a line through these points.
2. Plot the y-intercept of the second equation at (0,4) and use the slope of -1 to find another point. Drawing a line through these points.
The lines intersect at the point (1,3), which is the solution to the system of equations.
Therefore, the solution to the system of equations y=x+2 and y=-x+4 is x=1 and y=3.
Solve this system of equations using graphing.
y=x+2
y=-x+4
1 answer