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

Question

asked Mar 25, 2019 97.4k views

2 Answers

Amit Vyas · Answer 1 · 2019-03-29T22:43:51+0000

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.