Use the graphing method to solve the system of linear equations:
y = -x + 3 and y = x - 1
Responses
A (-1,2)(-1,2)
B (0,3)(0,3)
C (1,0)(1,0)
D (1,2)(1,2)
E (2,1)
To solve the system of linear equations using the graphing method, we graph both equations on the same coordinate plane and find the point of intersection. This point represents the solution to the system of equations.
First, let's graph the equation y = -x + 3. We can plot the y-intercept at (0, 3) and use the slope of -1 to find additional points on the line.
Since the slope is -1, we can find another point by going down 1 unit and right 1 unit from the y-intercept. This gives us the point (1, 2).
Now let's graph the equation y = x - 1. We can plot the y-intercept at (0, -1) and use the slope of 1 to find additional points on the line.
Since the slope is 1, we can find another point by going up 1 unit and right 1 unit from the y-intercept. This gives us the point (1, 0).
Now we can see that the two lines intersect at the point (1, 2). This is the solution to the system of equations.
Therefore, the correct answer is D: (1, 2).