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
jolli1 [7]
2 years ago
11

Line c has an equation of y = 4x + 9. Line dis parallel to line c and passes through (-4,-4).

Mathematics
1 answer:
natta225 [31]2 years ago
8 0

Answer:

\large\boxed{\sf y = 5x +16}

Step-by-step explanation:

Here it is given that a line c has a equation of ,

\sf\qquad\longrightarrow y = 4x + 9

And there is another line d which is parallel to line c and passes through the point (-4,-4) . And we need to find out the equation of the line .

Firstly we know that the slope of two parallel lines is same . So on comparing the given line to the slope intercept form of the line which is y = mx + c , we have ;

\sf\qquad\longrightarrow m = 4

Therefore the slope of the parallel line will be ,

\sf\qquad\longrightarrow m_{||}= 4

On using the point slope form of the line , we have ;

\sf\qquad\longrightarrow y - y_1 = m(x-x_1)\\

Substitute the values ,

\sf\qquad\longrightarrow y - (-4) = 5\{ x -(-4)\}

Simplify ,

\sf\qquad\longrightarrow y +4 = 5(x +4)

Open the brackets ,

\sf\qquad\longrightarrow y + 4 = 5x + 20

Subtract 4/on both sides ,

\sf\qquad\longrightarrow y = 5x +20-4

Simplify ,

\sf\qquad\longrightarrow \pink{ y = 5x + 16}

<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>l</u><u>i</u><u>n</u><u>e</u><u> </u><u>i</u><u>s</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>5</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>6</u><u> </u>

You might be interested in
What is the explicit rule for the sequence?
scZoUnD [109]
Hello, sorry this is a little late!

I believe the correct answer to your question would best be Option A.

I can confirm this is 100% correct!

Hope this helps and have a great rest of your day :)
5 0
3 years ago
Read 2 more answers
Translate this sentence into an inequality: A cheetah can reach a speed of 70 mph. However, this speed can be maintained for no
bezimeni [28]

The sentence says the speed can be maintained for no more than 1640 feet.

The "no more" means 1640 feet or less ,so the equation would be d is less than or equal to 1640.

The correct equation is A.

4 0
3 years ago
Problems that are not answered I need help with quickly!
Anika [276]
Whats the problem? just substitute. For example: 3x-5 if x=4 so what you do is this; 3(4)-5=7
7 0
3 years ago
The ratio
vaieri [72.5K]
1 : 100,000
Because there are 100cm in a m and 1000m in a km
100 x 1000 = 100,000
3 0
2 years ago
Differentiate 6+4x - x^2
vfiekz [6]

Answer:

2x+4

Step-by-step explanation:

hope that helps

3 0
2 years ago
Other questions:
  • PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
    8·1 answer
  • Simplify (6b^2)^2 Please hurry !!
    14·2 answers
  • Approximate value of x and why
    5·2 answers
  • Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​
    5·2 answers
  • I NEED THIS ASAP! Graph the equation y = k x + 1 if it is known that the point M belongs to it:
    6·2 answers
  • Help me please I have to do a test!
    13·1 answer
  • (show the work please)
    11·1 answer
  • Convert angle radians to degrees
    8·1 answer
  • for every 15 students who run track there are 7 students who play baseball there are 112 more students who run track than play b
    7·2 answers
  • Can someone please do this maze for me and show work?! Dm me and help me plsss
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!