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Gemiola [76]
3 years ago
6

Please help me I'm not sure on this one.

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

  (a)  The y-intercept of Function A is greater

Step-by-step explanation:

The grid is not large enough to let you plot the points of Function A, but you can estimate where they might go.

The first point, (-9, -13), is off the bottom at the left side of the graph. It will be 3 units below the bottom line (-10) at the vertical x=-9. It is approximately (exactly) coincident with the graphed red line.

The second point, (6, 12), is off the top of the graph at the vertical x=6. That point is clearly above the red line.

These two points of Function A are sufficient to give you the idea that Function A is above Function B in the area of this graph.

Function A will have a greater y-intercept.

__

If you want to compute the y-intercept for Function A, you can start by computing the slope of the line. From the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (12 -(-13))/(6 -(-9)) = 25/15 = 5/3

Then the y-intercept can be found from ...

  b = y1 -m·x1

  b = (-13) -(5/3)(-9) = -13 +15 = 2

The y-intercept for Function A is (0, 2), which is <em>greater than</em> the y-intercept of (0, -1) that Function B has.

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