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
Tpy6a [65]
3 years ago
10

Write the slope intercept form of the line that travels through (4,-1) and is parallel to y=1/4x

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Answer:

\boxed {\boxed {\sf y=\frac {1}{4}x-2}}

Step-by-step explanation:

Since we are given a point and a slope, we can use the point-slope formula.

y-y_1=m(x-x_1)

where m is the slope and (x₁ , y₁) is the point the line passes through.

We know the point is (4, -1).

We have to find the slope. We know that the line is parallel to y=1/4x.

This line has a slope of 1/4 (1/4 is the coefficient of x), and parallel lines have the same slope. Therefore, the line we are finding also has a slope of 1/4.

So, we know that:

  • m=1/4
  • x₁= 4
  • y₁= -1

Substitute these values into the formula.

y--1=\frac{1}{4}(x-4)

Now we must put the equation into slope-intercept form, or y=mx+b. We have to isolate y on one side of the equation.

First, distribute the 1/4. Multiply each term inside the parentheses by 1/4.

y--1=(\frac {1}{4}*x )+(\frac{1}{4} * -4)\\y+1= \frac {1}{4}x-1

1 is being added to y. The inverse of addition is subtraction, so subtract 1 from both sides of the equation. This will leave the variable y by itself.

y+1-1= \frac {1}{4}x-1-1

y=\frac {1}{4}x-1-1\\y=\frac {1}{4}x-2

The equation of the line is <u>y=1/4x-2</u>

You might be interested in
Find the slope in the equation: -2x +y = 1*
Alexxandr [17]

Answer:-2

Step-by-step explanation:

whatever the number attachted to x is, is the slope

6 0
3 years ago
Read 2 more answers
Fill in the missing value in each equation:<br>a)0.25+_____=0<br>b)-5×_____=-5<br>c)_____×-6=0
Mashutka [201]

Answer:

a) -0.25

b) 1

c)0

Step-by-step explanation:

a) 0.25 + (-0.25)=0

b) -5*1=-5

c) 0*(-6)=0

8 0
2 years ago
Hi please answer and you dont NEED to show work but if u do i will give brainliest
Advocard [28]

Answer:

y=-\frac{2}{5} -1

Step-by-step explanation:

So first thing is that slope intercept form is setup like this

y=mx+b

m=slope

b=y intercept

the slope is change in y over change in x

as y goes down 2 x goes up 5

so the slope is -2/5

the y intercept is at (0,-1) so the y intercept is -1

therefore the answer is

y=-\frac{2}{5} -1

have a great day :)

8 0
3 years ago
Read 2 more answers
Evaluation. I need help on this​
Lelechka [254]
For every negative power you divide by 10

7 0
2 years ago
Read 2 more answers
Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals
anygoal [31]

The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.

From the table given, the linear regression model for the data can be expressed as :

  • y = 14.02x - 3.64 ; where ;
  • y = Predicted number of wins ;
  • x = average number of goals per match ;
  • slope = 14.02 ;
  • Intercept = - 3.64

<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :

Average goals per match, x = 1.5

Substitute x = 1.5 into the equation :

y = 14.02(1.5) - 3.64

y = 17.39

y = 17 (nearest whole number)

Learn more :brainly.com/question/18405415

8 0
2 years ago
Other questions:
  • What is the common difference is this sequence: 5,17,29,41,53?
    8·1 answer
  • 60 is 25% of what number?
    5·2 answers
  • Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
    8·2 answers
  • WILL MARK BRAINLIEST!!Which of these is a compound event?
    11·2 answers
  • HELPPP ASAP WILL MARK BRAINLEST!!!!!!
    10·1 answer
  • HELP :/ At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total
    11·1 answer
  • 7. 70% of what number is 112
    7·1 answer
  • Need someone’s help with this please!!!
    8·1 answer
  • Which transformation represents a reflection over the y-axis?
    5·2 answers
  • Solve the inequality:<br>12+x≥3(x-6)​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!