Question

What is the equation of the line in the graph?
A. y = 2x – 2
B. y = x + 4
C. y = x – 4
D. y = 2x + 4

Answer 1

(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 2

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.