Question

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)

Answer 1

A. (0,-1)

Explanation:

The equation for this problem is y=1/2x-1

Answer 2

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.