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Lorico [155]
3 years ago
6

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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Answer:

\frac{AC}{BC}=\frac{DF}{EF}

Step-by-step explanation:

The figure given has two similar triangles: ΔABC and ΔDEF.  Although the triangles are similar, their orientation is different and ΔDEF is flipped.  Since the triangles are similar, their side lengths are proportional to each other.  Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF.  The only answer that matches these up proportionally is the third one.  Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle.  Final answer being:

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