Verified Answer :

texaschic101

(4,0)(0,-4)
slope(m) = (-4-0) / (0 - 4) = -4/-4 = 1

y = mx + b
slope(m) = 1
(4,0)...x = 4 and y = 0
now we sub and find b, the y int

y = mx + b
0 = 1(4) + b
0 = 4 + b
-4 = b

so the equation of the line in the graph is : y = x - 4

Answer:  The correct option is (C) \(y=x-4.\)

Step-by-step explanation:  We are given to select the equation of the line shown in the graph.

From the graph, we note that the line passes through the points (4, 0) and (0, -4).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

\(m=\dfrac{d-b}{c-a}.\)

So, the slope of the graphed line will be

\(m=\dfrac{-4-0}{0-4}=\dfrac{-4}{-4}=1.\)

Since the line passes through the point (4, 0), so its equation will be

\(y-0=m(x-4)\\\\\Rightarrow y=1(x-4)\\\\\Rightarrow y=x-4.\)

Thus, the required equation of the graphed line is \(y=x-4.\)

Option (C) is CORRECT.

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