1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elodia [21]
3 years ago
9

Write an equation for the line that passes through (4,-6) and (-7,-6). Is the line parallel or perpendicular to the y-axis?

Mathematics
1 answer:
alisha [4.7K]3 years ago
7 0

Answer:

y = -6, perpendicular

Step-by-step explanation:

You can use the points to find the slope of the line:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{-6-(-6)}{-7-4} =\frac{-6+6}{-7-4}=\frac{0}{-11}=0

Then, using point-slope form, choose one set of coordinates to use for y1 and x1:

y-y_{1}=m(x-x_{1})

y-(-6)=0(x-4)

y+6=0

y=-6

Since the slope of the line is zero, it's a horizontal line. The y-axis is a vertical line, which means that the line is perpendicular to the y-axis.

You might be interested in
What do you call identical twin sisters when both are ice skating champions
BigorU [14]
The answer for your question is Ice queen clones.
3 0
3 years ago
Read 2 more answers
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
xenn [34]

Answer:5

Step-by-step explanation:

couldn’t tell ya g

3 0
3 years ago
5 less the quotient of 14 times a number x and 9
AURORKA [14]

Answer:

\frac{14x}{9}-5

Step-by-step explanation:

14 times a number x :  14* x = 14x

Quotient of 14 times a number x  an 9 :   \frac{14x}{9}

5 less the quotient of 14 times a number x and 9 :

\frac{14x}{9}-5

7 0
2 years ago
Suppose you are interested in the effect of skipping lectures (in days missed) on college grades. You also have ACT scores and h
DIA [1.3K]

Answer:

a) For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

b) This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

c) If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

Step-by-step explanation:

For this case we have the following multiple regression model calculated:

colGPA =2.52+0.38*HSGPA+0.015*ACT-0.5*skip

Part a

(a) Interpret the intercept in this model.

For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

(b) Interpret \hat \beta_{ACT} from this model.

This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

(c) What is the predicted college GPA for someone who scored a 25 on the ACT, had a 3.2 high school GPA and missed 4 lectures. Show your work.

For this case we can use the regression model and we got:

colGPA =2.52 +0.38*3.2 +0.015*25 - 0.5*4 = 26.751

(d) Is the estimate of skipping class statistically significant? How do you know? Is the estimate of skipping class economically significant? How do you know? (Hint: Suppose there are 45 lectures in a typical semester long class).

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

7 0
3 years ago
A movie rental company charges a yearly membership fee of $18.Each movie rental is $1.50.Which equation could be used to find th
Pavlova-9 [17]

Answer:

18+1.50m

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the negetive and positive intercepts at
    5·1 answer
  • Which polynomial, when added to the polynomial 5x^2-3x-9 is equivalent to: 18
    7·1 answer
  • the sum of interior angles of a regular polygon is 720 degrees find the number of sides of the polygon and give its name​
    12·2 answers
  • What is the slope of the line passing through the points (-5,9) and (2,-12)​
    5·1 answer
  • Please help quickly
    6·2 answers
  • What comes after 3.4 in a pattern when dividing
    15·2 answers
  • What is the constant of proportionality,<br> ?
    8·1 answer
  • Find the volume of a pyramid with a square base, where the area of the base is 11.9\text{ in}^211.9 in ​2 ​​ and the height of t
    13·1 answer
  • Give 5 integers whose product is less than zero and whose sum is -26
    5·2 answers
  • Help please!!!!!!!!!!!!!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!