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Tju [1.3M]
3 years ago
6

Write the slope intercept form of the equation of each line

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

Answer:

The slope is 1/4 so the slope intercept form is y=1/4+3

Step-by-step explanation:

To find the slope the easiest way from looking at a graph is just to find the rise over run. From looking at the graph we can see that the next point from 0,3 is 4,4. The y here is increased by 1, which means the rise is 1. The x is increased by 4 so the run is 4. From putting rise (1) over run (4) the slope is 1/4. The formula for slope intercept is y=mx+b. m is slope so we substitue that for 1/4 so now we have y=1/4x+b. Then the b is the y intercept, or, at what point the line crosses the y line. Which in this case is 0,3 so the y intercept would be 3 because that is what height it crosses the y line.

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Remark

There is no short way to do this problem and no obvious way to get the answer other that to solve each part.  

Solve

A

\dfrac{x + 1.6}{2} =\text{x + 0.1}                    Multiply by 2

x + 1.6 = 2(x + 0.1)                                         Remove the brackets

x + 1.6 = 2x + 0.1*2                                        

x + 1.6 = 2x + 0.2                                          Subtract x from both sides

1.6 = x + 0.2                                                  Subtract 0.2 from both sides  

1.6 - 0.2 = x                        

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Circle A

B

Subtract 2x from both sides.

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C

Remove the brackets.

4x + 6 = 2x - 6           Add 6 to both sides

4x + 12 = 2x               Subtract 4x from both sides.

12 = -2x                      Divide by - 2

12/-2 = x

x = - 6                         Don't circle C

D

I'm going to be very scant in my solution of this. You can fill in the steps.

3x = 4.2

x = 4.2/3

x = 1.4

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