The graph shows the location of all solutions for some linear equation. The coordinates of two of the points are labeled. Which linear equation matches this graph?
A)
x + y = 6
B)
y = 2x + 4
3x + y - 9
D
y = -2(x - 5) -6

Option D

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

From the graph attached,

y-intercept = 4

Since, slope of the line passing through two points and is given by,

m =

Therefore, slope of the line passing through (-2, 8) and (5, -6) will be,

m =

m =

m = -2

Therefore, equation of the line will be,

y = -2x + 4

Equations given in the options A, B, and C are not matching with our equation.

Simplify the equation given in Option D,

y = -2(x - 5) -6

y = -2x + 10 - 6

y = -2x + 4

Therefore, Option D is the answer.

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step-by-step explanation:

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step-by-step explanation: