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
Rina8888 [55]
3 years ago
5

What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

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

A line placed in slope-intercept form is represented by the formula y = mx + b. The m, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula y-y_1 = m (x-x_1) and substitute values for m, x_1, and y_1. Since m represents the slope of the line, substitute 2 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2

So, option D is correct.  

You might be interested in
1,536÷24 GETS BRAINLIEST​
Sliva [168]

Answer:

64

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone help me :(
k0ka [10]

Answer:

x = 20

Step-by-step explanation:

19 < x < 25

x had to be higher than 19 but lower than 25

18 cant be the answer because it is less than 19

27 cant be the answer because it is higher than 25

that leaves 20, which is the right answer

19 < 20 < 25

4 0
2 years ago
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
kogti [31]

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

3 0
3 years ago
7 5/16 as a decimal​
larisa [96]

Answer:

7.3

Step-by-step explanation:

7 5/16 as a decimal is 7.3125 which can be rounded to 7.3.

5 0
2 years ago
Read 2 more answers
Given f(x)=x-7/3 solve for f^-1(4)
GrogVix [38]
I hope this hepls you


f⁻¹(x)=3x+7


f⁻¹(4)=3.4+7=19
8 0
3 years ago
Other questions:
  • Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula
    12·1 answer
  • WILL GIVE A BRAINLIEST TO THE CORRECT ANSWER PLEASE HELP!!
    7·1 answer
  • In the middle of a park there is a fenced off area in the shape of the fence says is a square. If the area of the fenced off por
    9·1 answer
  • Use scientific notation to calculate the exact number of hours in one year
    8·1 answer
  • What is the answer 6a=5/7
    7·1 answer
  • Mr. Wang needs a total of 410 spoons for his son's birthday party. He currently has 278 spoonsIf has 12 spoons, what is the mini
    9·1 answer
  • S4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4+1/2(2*4-1)+3.5ms4
    12·2 answers
  • What is the Density if the Mass is 40g and the Volume is 20mL? <br> Density = ______/_______
    6·2 answers
  • What Is The Answer For -6( -2+a ) = 54
    5·1 answer
  • The graph shows two lines, A and B.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!