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Leni [432]
3 years ago
11

a line passes through the points (-2,-7) and (-3,1) . find the slope and slope intercept form how do i find the slope and slope

intercept form ?
Mathematics
2 answers:
saw5 [17]3 years ago
5 0
First find the slope, so subtract the y1 and 2 then same thing with x. -7-1=y. -2-(-3)=x. y is -8 and x is 1. divide -8 and 1. which gives you -8. SLOPE is -8. THE FORMULA for slope intercept form is Mx+B=y first insert the numbers then solve. need any more help use the app socratic and photo math
bija089 [108]3 years ago
5 0

Slope formula: y2-y1/x2-x1

= 1-(-7)/-3-(-2)

= 8/-1

= -8

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

We need to solve for the y-intercept.

y = -8x + b

We can use the point (-2, -7) to solve.

-7 = -8(-2) + b

-7 = 16 + b

-7 - 16 = 16 + b - 16

-23 = b

Now, we can put it in slope-intercept form.

y = -8x - 23

Hope This Helped! Good Luck!

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
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Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

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