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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)

Respuesta :

calculista

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

Ver imagen calculista

Answer:

A.

Step-by-step explanation:

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