Determine the coordinates of the y-intercept of the function shown in the graph. A) (0, -1) B) (2, 0) C) (0, 2) D) (-1, 0)

Question

asked Apr 27, 2019 221k views

2 Answers

Hendrik Vlaanderen · Answer 1 · 2019-05-01T02:08:56+0000

Answer: The correct option is (A) (0, -1).

Step-by-step explanation: We are given to find the co-ordinates of the y-intercept of the function shown in the graph.

From the graph, we see that the line passes through the points (-6, -4) and (-2, -2).

So, the slope of the line is

m=(-2-(-4))/(-2-(-6))=(2)/(4)=(1)/(2).

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

$y-(-2)=m(x-(-2))\\\\\\\Rightarrow y+2=(1)/(2)(x+2)\\\\\Rightarrow 2y+4=x+2\\\\\Rightarrow x-2y=2~~~~~~~~~~~~~~~~~~~(i)$

At x = 0, we get from (i) that

$0-2y=2\\\\\Rightarrow y=-(2)/(2)\\\\\Rightarrow y=-1.$

Thus, the y-intercept of the given line is (0, -1).

Option (A) is CORRECT.