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
svetoff [14.1K]
3 years ago
12

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

ven equation. (1,−3); + 2 = 4( - 1)+2=4(−1)
Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

The given equation is y + 2 = 4(x - 1)

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Step-by-step explanation:

Parallel lines have

  • Same slopes
  • Different y-intercepts

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y + 2 = 4(x - 1)

- Change its form to slope-intercept form to find its slope

∵ y + 2 = 4(x) - 4(1)

∴ y + 2 = 4x - 4

- Subtract 2 from both sides

∴ y = 4x - 6

- Compare it with the slope-intercept form to find m

∵ the slope-intercept form is y = mx + b

∴ m = 4

∵ The parallel lines have same slopes

∴ The slope of the parallel line is 4

- Substitute it in the form of the equation

∴ The equation of the parallel line is y = 4x + b

- To find b substitute x and y in the equation by the

   coordinates of a point on the line

∵ The parallel line passes through point (1 , -3)

∴ x = 1 and y = -3

∵ -3 = 4(1) + b

∴ -3 = 4 + b

- Subtract 4 from both sides

∴ -7 = b

∴ The equation of the parallel line is y = 4x + (-7)

∴ The equation of the parallel line is y = 4x - 7

The equation of the parallel line in the slope-intercept form is y = 4x - 7

Learn more:

You can learn more about the linear equations in brainly.com/question/4152194

#LearnwithBrainly

You might be interested in
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
pickupchik [31]
B. the diagonals are congruent - the graph represents two equal, parallel lines, making the two segments congruent
3 0
3 years ago
A small junior college had an enrollment of 7,843 students in the year 1990 and 8,793 students in the year 2000. Let x=0 represe
abruzzese [7]

Correct answer is: (0,7843) and (10,8793)

Solution:-

Given that a junior college has an enrollment of 7843 students in 1990 and 8793 students in year 2000.

We have to write this data as (x,y) .

Where x= years after 1990 and y=number of students enrolled.

Since in 1990, 7843 students enrolled, x = 1990-1990=0

And y=7843.

Hence one ordered pair is (0,7843).

Let us find the years after 1990 for 2000 = 2000-1990 =10

Hence another ordered pair is (10,8793).

4 0
3 years ago
What is the equation of line l?
inessss [21]
Y=-3/2L -2. At the Y axis, line L is at -2, so we add that as B or the Y intercept. We can see that the graph goes 2 over to the right and down three, which makes the slope negative and 3/2 (rise/run)
5 0
3 years ago
Someone please help!! I’ll give brainliest!
snow_lady [41]

Answer:

1766.3

Step-by-step explanation:

V=4 /3πr^3

= 4/3(3.14)(7.5)^3

= 4/3(3.14)(421.88)

= 4/3(1324.69)

= 1766.25

= 1766.3

I hope this is right!

3 0
3 years ago
I need help it's so confusing!​
jasenka [17]
Try looking up the answer
5 0
3 years ago
Other questions:
  • Find the value of p rounded to the nearest degree
    15·1 answer
  • Sanjay expects 10 000 visitors at the festival. For health and safety, there must be fewer than 0.9 visitors per square metre. I
    9·1 answer
  • What number :Increased by 130% is 69 i rlly need help!!!
    7·2 answers
  • PLZ HELP ME! The measure of c is ____.
    14·1 answer
  • How do you subtract (2/3)-(1/6)
    15·1 answer
  • Describe the type of angles formed when you divide a circle into 4 equal parts
    13·1 answer
  • Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.
    13·1 answer
  • Do ya'll the answer to this problem well its not really a problem you have to write the equation.
    9·1 answer
  • Can someone help please and thx:) !
    10·1 answer
  • Hey can someone please help me!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!