The linear equation y=-2x+4 is represented on the graph below. A second linear equation is represented by the data in the table.
x y –4 –3 0 –1 2 0 6 2 What is the solution to the system of equations? (2, 0) (0, 4) (0, –1) (4, –4)
2 answers:
Answer:
The solution of the system of equations is (2,0)
Step-by-step explanation:
step 1
Find the equation of the second line
we have
y=-2x+4 ----> First equation
Find the second linear equation
we have
(-4,-3), (0,-1),(2,0),(6,2)
Find the slope m
Points (0,-1),(2,0) ---> y-intercept and x-intercept of the second equation
m=(0+1)/(2-0)
m=1/2
The equation of the line into slope intercept form is equal to
y=(1/2)x-1
step 2
Solve the system of equations
we have
y=-2x+4 ----> First equation
y=(1/2)x-1 ----> Second equation
Solve by graphing
The intersection point is (2,0)
therefore
The solution of the system of equations is (2,0)
see the attached figure
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