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dsp73
2 years ago
9

Write the slope - intercept form of the equation of each line through the points -2,5) and (0,-2)​

Mathematics
1 answer:
grin007 [14]2 years ago
3 0
Gradient (m) = change in y/change in x
-2-5/0–2 = 3.5
gradient (m) = 3.5
Now evaluate one of the coordinates and the gradient in the equation
y = mx + c
-2 = 3.5(0) + c
c = -2
so the answer is
y = 3.5x -2
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Solve and graph the absolute value inequality: |2x + 4| > 14.
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Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

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Answer:

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9-3(x-6) = 2(x-4)-10
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