Question

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

Answer 1

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

$m=\dfrac{-1-(-5)}{0-(-2)}=\dfrac{-1+5}{0+2}=\dfrac{4}{2}=2.$

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.

Answer 2

Answer:

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

Step-by-step explanation: