Two linear graphs intersect at (3, -1). One of the graphs has equation y = x - 4 and the other one passes through (4, -2). Determine the equation of the second line and verify your answer with a graph.
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Respuesta :

The equation of the second line would be y = -x + 2.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Two linear graphs intersect at (3, -1).

One of the graphs has equation y = x - 4 and the other one passes through (4, -2).

m = ( -2 + 1) / ( 4 - 3)

m = -1 / 1 = -1

The equation of the second line

y + 2 = m ( x - 4)

y + 2 = -1 ( x - 4)

y = -x + 2

Hence, the equation of the second line would be y = -x + 2.

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