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a_sh-v [17]
2 years ago
13

13. Identify the y-intercept and the slope for each equation.

Mathematics
1 answer:
mihalych1998 [28]2 years ago
5 0

Answer:

For a )    y = 6x - 3

slope = m = 6\\y-intercept = c = -3\\

For b )     y = -2x - 10

slope = m = -2\\y-intercept = c = -10\\

For c )    y = -4x + 4

slope = m = -4\\y-intercept = c = 4\\

Step-by-step explanation:

Given:

a. y = 6x - 3

b. y = -2 (x + 5)

   y = -2x - 10

c. y = 4 (-x + 1)

  y = -4x + 4

To Find:

y-intercept and the slope for each equation = ?

Solution:

Slope-intercept Formula is given by

y=mx+c

Where,

m = slope

c = y-intercept

So on comparing the Given equations with the above Equation we get

For a )   y = 6x - 3

slope = m = 6\\y-intercept = c = -3\\

For b )    y = -2x - 10

slope = m = -2\\y-intercept = c = -10\\

For c )    y = -4x + 4

slope = m = -4\\y-intercept = c = 4\\

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Comment
I think you need brackets to clarify what you mean. I think it should be written as 
10b/(2b + 8) 

If that is the case the reciprocal is

(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did. 

Put the numerator in  the denominator,
Put the denominator in the numerator.

You could simplify this a bit.
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which reduces further.

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Just to make sure you understand where that b is, I will do this in

Latex.\frac{2b + 8}{10b} =  \frac{2b}{10b} +  \frac{8}{10b} =  \frac{2}{10} + \frac{4}{5b} =  \frac{1}{5} +  \frac{4}{5b}

Alternate answer
If you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2 

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The answer
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