Determine the coordinates of the y-intercept of the function shown in the graph.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

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

$m=\dfrac{-2-(-4)}{-2-(-6)}=\dfrac{2}{4}=\dfrac{1}{2}.$

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

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

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

$0-2y=2\\\\\Rightarrow y=-\dfrac{2}{2}\\\\\Rightarrow y=-1.$

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

Option (A) is CORRECT.

svetoff [14.1K]3 years ago

7 0

Answer:

A. (0,-1)

Step-by-step explanation:

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

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