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
vredina [299]
3 years ago
6

What is an equation of the line that passes through the point(5,-3) and is parallel to the line 4x-5y=45

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: y = \frac{4}{5}x-7

Step-by-step explanation:

Given equation is:

4x-5y = 45

First of all we have to convert the equation in slope-intercept form

So,

4x - 45 = 5y\\5y = 4x-45\\\frac{5y}{5} = \frac{4x-45}{5}\\y = \frac{4x}{5} -\frac{45}{5}\\y = \frac{4}{5}x - 9

Let m1 be the slope of given line and m2 be the slope of required line

The coefficient of x is the slope of the line, so

m1 = 4/5

As the required line is parallel to given line, both will have equal slopes

m2 = 4/5

Slope-intercept form is:

y = m_2x+b

Putting the value of m2

y = \frac{4}{5}x +b

Putting the point (5,-3) in the equation

-3 = \frac{4}{5} (5) +b\\-3 = 4+b\\b = -3-4\\b = -7

Putting the value of b

y = \frac{4}{5}x-7

Hence,

The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: y = \frac{4}{5}x-7

Keywords: Slope, equation of line

Learn more about equation of line at:

  • brainly.com/question/13018923
  • brainly.com/question/12985407

#LearnwithBrainly

You might be interested in
Simply the expression: <br> Pls need help fast!!!!!!
sukhopar [10]

Answer:

4^6

Step-by-step explanation:

6 0
3 years ago
6. (6.1H)
miv72 [106K]

Answer:

52 is correct answer ✔️

7 0
3 years ago
Read 2 more answers
Which statement is true about the equation 22-2=m-7?
Liono4ka [1.6K]
22-2=m-7.
first you subtract 22-2 thats 20.
then youtake 20 and subtract it by 7 but in order to do that you have to make 20 negative.
 m-7
-    20
this equals m-20
4 0
3 years ago
Can someone help ASAP this is missing and destroyed my grade
maria [59]

Answer:

A

Step-by-step explanation:

6ft plus 1 3/4 is 7 3/4

Sorry for minimum explanation but I hope it helped!

7 0
3 years ago
Read 2 more answers
You use for gallons of water on 14 plants in your garden. At this rate how much water will it take to water 35 plants?
nataly862011 [7]
The answer would be 10! I divided the number of plants that you can water with 4 gallons (14) by, well, the number of gallons it takes to water them (4) and got 3.5 (14 / 4 = 3.5), the number of plants you can water with one gallon. I then divided the number of plants you need to water (35) by the number of gallons it takes to water one plant (3.5) and came up with 10. I hope this helps you!
4 0
3 years ago
Other questions:
  • Federica used 13.4 gallons of gasoline to drive 448.9 miles. what was the average number og miles she drove per gallon of gasoli
    12·2 answers
  • -1.5,-1,?,0 what is the missing ? HELP PLZ
    15·2 answers
  • Find the area of the parallelogram by imagining that the blue triangle is moved onto the purple triangle.
    13·1 answer
  • Is the area of the shaded rectangle 6(2-m) or 6(m-2)
    13·1 answer
  • Ivan needs gas for his truck. He knows his truck holds 20 gallons of gas. His gas can does not measure gallons, though. It measu
    10·2 answers
  • PLEASE HELP ME!!!!!!!
    6·1 answer
  • Solve for y. Then graph the equation.
    15·1 answer
  • What is the volume of this unit cube?
    15·1 answer
  • Pls helppppp I need answers now I’ll mark you as brainlist
    5·1 answer
  • Select the correct answer. Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!