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jenyasd209 [6]
2 years ago
14

Does anybody understand writing equations in slope intercept form?

Mathematics
2 answers:
irakobra [83]2 years ago
6 0

Hello!

Explanation: The y-intercept is the point on a graph at which the graph crosses the y-axis.

Slope-Intercept Form: y=mx+b

Let m represent the slope.

(0¹,b¹) (x²,y²)

m=rise/run=y-b/x-0

x(m)=y-b/x)x

mx=y-b

+b    +b

mx+b=y

And switch sides of an equation.

y=mx+b

Hope this helps!


aleksandr82 [10.1K]2 years ago
4 0

slope intercept form

y=mx+b

where m is the slope and b is the y intercept

if we change from point slope form

y-y1 = m(x-x1)

we distribute

y-y1 = mx -x*x1

then add y1 to each side

y = mx -x*x1+y1


remember x and y are variables and should stay in the equation

m,x1,y1 are numbers from the problem

you may have to calculate the slope (m) from the formula

m = (y2-y1)/(x2-x1)  from two points on the line

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Explain why please and make sure it is in full detail
Marysya12 [62]

Step-by-step explanation:

well,

(y - 7)² = (y - 7)(y - 7)

remember how to multiply 2 expressions ?

you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).

so, when we do the multiplication, we get

(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =

= y² - 14y + 49

and that is clearly different to y² - 49

FYI

y² - 49 is the result of

(y - 7)(y + 7)

because

y×y + 7×y - 7×y + (-7)(7) = y² - 49

8 0
2 years ago
Read 2 more answers
Antonio ran 129 laps at the park. Alan ran 20% more than that. how many laps did Alan run
Colt1911 [192]

Answer:

154.8

Step-by-step explanation:

20% is equal to 20/100= 0.20. So, 0.20 multiplied by 129 will give you 20% of 129 which is 25.8. If Alan ran 20% more then you add 25.8 to 129 which gives you an answer of 154.8.

Equation: 20/100= 0.2

                0.2* 129= 25.8

                25.8+129= 154.8

Alan ran 154.8 laps.

3 0
3 years ago
Wha is 3x+3y=-9 in standard to slope intercept form simplified, thank you!
Alona [7]

Answer

Step-by-step explanation:

The answer would be y=-x-3. 3x+3y=-9 is in standard form and you want it to be in y=mx=b form (slope-int) so subtract 3x by both sides. Now, you have 3y=-3x-9. Divide 3 to both sides, now you will get y=-x-3.

6 0
3 years ago
WILL GIVE BRAINIEST ANSWER!!!Which lines are parallel to the graph of 4x – y = 6? Check all that apply.
kondaur [170]
If it is parallel, it means the slope is the same. We can convert 4x-y=6 into 4x-6=y after we isolate the x. We can also convert these other equations into slope intercept form. The answers are C, D, and F.
5 0
3 years ago
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening
pav-90 [236]

Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

8 0
3 years ago
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