Question

NEED URGENT HELP!

Match the graph with the correct equation.

y – 5= –(x + 3)

y – 3 = –(x + 5)

y – 3 = (x + 5)

y + 3 = –(x + 5)

Answer 1

(0, -2) (-2, 0)

slope = 2/-2 = -1

if x = -5, y = 3

equation
y - 3 = -1(x +5)
y - 3 = - (x + 5)

answer

y – 3 = –(x + 5)

Answer 2

Answer: The correct option is (B)
`y-3=-(x+5).`

Step-by-step explanation: We are given to match the graph shown with the correct equation.

From the graph, we note that

(-5, 3) and (0, -2) are two points that lie on the line graph.

So, the slope of the given graph is

`m=(-2-3)/(0-(-5))\\\\\\\Rightarrow m=(-5)/(5)\\\\\Rightarrow m=-1.`

Since the point (-5, 3) lies on the line, so its equation in point-slope form will be

`y-3=m(x-(-5))\\\\\Rightarrow y-3=-(x+5).`

Thus, option (B) is CORRECT.