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
dlinn [17]
3 years ago
14

An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Answer:

The answer to your question is   y = -1/4x + 15/4

Step-by-step explanation:

Data

P (-1, 4)

⊥ y = 4x + 1

Process

1.- Find the slope of the line given

       y = 4x + 1

slope = 4

2.- Find the slope of the new line

     slope 2 = -1/4

3.- Find the equation of the line

       y - y1 = m(x - x1)

Substitution

       y - 4 = -1/4(x + 1)

Simplification

       y - 4 = -1/4x - 1/4

       y = -1/4x - 1/4 + 4

       y = -1/4x - 1/4 + 16/4

Result

       y = -1/4x + 15/4

You might be interested in
Determine whether the formula describes y as a function of x. Explain your reasoning.. . y = -x
Alex17521 [72]
The given formula above, y = -x, is a sample of a function. A function is an equation that would give only one value of y for every value of x. This is the same as saying that exactly one output is set by each input. If we take x = -1, the value of y is 1 and nothing else. 
7 0
3 years ago
I need help please.
sweet-ann [11.9K]

Answer:

<u>Third Option</u>: y = \frac{5}{4}x

Step-by-step explanation:

Given the points on the graph, (4, 5) and (-4, -5):

In order to determine the equation of the given graph in slope-intercept form, y = mx + b:

Use the given points to solve for the slope:

Let (x₁, y₁) = (-4, -5)

(x₂, y₂) = (4, 5)

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{5 - (5)}{4 - (-4)}  = \frac{5 + 5}{4 + 4}  = \frac{10}{8} = \frac{5}{4}

Therefore, the slope of the line is: m = \frac{5}{4}.

Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:

y = mx + b

5 = \frac{5}{4} (4) + b

5 = 5 + b

5 - 5 = 5 - 5 + b

0 = b

Therefore, the linear equation in slope-intercept form is: y = \frac{5}{4}x.  The correct answer is Option 3.

8 0
2 years ago
A pizza was divided into fourths.Jack ate 1/2 of one of the fourths what part of the pizza did he eat?
Virty [35]
He ate 1/8 of the pizza
7 0
3 years ago
Read 2 more answers
A randomly generated list of integers from 0 to 4 is being used to simulate an event, with the numbers 1, 2, and 3 representing
Tresset [83]

Answer:

I think the anwser is

<h2>C.60 percent</h2>

hope it helped

6 0
2 years ago
PLZ HELP IVE BEEN STUCK ON THIS QUESTION​
o-na [289]

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

7 0
3 years ago
Other questions:
  • The equation 2y+53=165 represents the situation “ Joel spent $165 on a pair of jeans and two shirts at the same price.” What doe
    15·2 answers
  • How do you find the surface area and volume of this geometric shape?
    7·1 answer
  • Jessica can swim 1 mile in 18.30 minutes. If she continues at the same rate, how many minutes will it take her to swim 1.5 miles
    7·2 answers
  • What are the missing angle measures in triangle ABC?
    7·2 answers
  • What is 15- (-14)??? Plz Explain
    14·2 answers
  • Which point on the graph could represent the ratio of 2 white flowers for every 3 pink flowers that will be in one row of Molly’
    10·1 answer
  • Find the area of the sector formed by 7 slices of pizza. Must show equation
    8·1 answer
  • Pls help! Be honest pls be honest......
    9·1 answer
  • A basketball player made 70 out of 100 attempted free throws. What percent of free throws was made?
    8·2 answers
  • PLEASE HELP DUE NOW!!!<br> WILL MARK BRAINLIEST!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!