Question

Use the coordinates of the labeled point to find a point-slope equation of the line.

Answer 1

A) y+5=2(x+2)

Explanation:

Answer 2

Answer: The correct option is

(A)
`y+5=2(x+2).`

Step-by-step explanation: We are given to use the co-ordinates of the labelled point to find a point-slope equation of the graphed line.

We note from the graph that

the co-ordinates of the labelled point are (-2, -5) and one of the other points that lies on the line is (0, -1).

Since the labelled point also lie on the line, so the slope of the graphed line will be

`m=(-1-(-5))/(0-(-2))=(-1+5)/(0+2)=(4)/(2)=2.`

Since the line passes through the point (-2, -5), so the point slope fom of the equation of the line is given by

`y-(-5)=m(x-(-2))\\\\\Rightarrow y+5=2(x+2).`

Thus, the required point-slope form of the equation of the line is
`y+5=2(x+2).`

Option (A) is CORRECT.