estimate the equation to the system of these linear equations based on the graph y=2x+3 and y=1/2x+6

(-2,7)
(2,-7)
(2,7)
(7,2

1 answer

To estimate the equation to the system of linear equations based on the graph, we can first find the intersection point of the two lines represented by the equations y=2x+3 and y=1/2x+6.

Setting the two equations equal to each other:
2x + 3 = (1/2)x + 6
2x - (1/2)x = 6 - 3
(3/2)x = 3
x = 3 / (3/2)
x = 2

Substitute x=2 into either equation to find y:
y = 2*2 + 3 = 4 + 3 = 7

Therefore, the estimated equation to the system of linear equations is y = 2x + 3. This equation closely approximates the intersection point of the two lines on the graph, which is estimated to be (2,7).