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
wolverine [178]
3 years ago
5

What is the equation of the line that is parallel to the line y=-1/3x+4 and passes through the point (6,5)?

Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0

Answer:

y = -\frac{1}{3} x + 7

Step-by-step explanation:

Given: y = -\frac{1}{3} x + 4 and passes through the point (6, 5).

Here we have to find the equation of the line that is parallel to the given line.

If the two lines are parallel, then their slopes must be the same.

From the given equation, the slope(m) = -\frac{1}{3}

So the slope of the parallel line also will be the same.

Now we have to find the y-intercept of the parallel line.

The general form of slope-intercept form y = mx + b, where "m" is the slope and "b" is the y-intercept.

We know m = -\frac{1}{3} and it is passes through the point (6, 5)

Here x = 6 and y = 5

Now plug in these values in the above slope-intercept and find the y-intercept.

5 = -\frac{1}{3} *6 + b

5 = -2 + b

Adding 2 on both sides, we get

b = 5 + 2

b = 7

Now we got slope (m) = -1/3 and y-intercept(b) = 7

So the required equation is y = -\frac{1}{3} x + 7

natulia [17]3 years ago
5 0
Parallel lines have the same slope. The slope of y = -1/3 x + 4 is -1/3.

The equation is

(y - 5) = -1/3 (x - 6)

y = -1/3 x -1/3 (- 6) + 5 = -1/3 x + 2 + 5 = -1/3 + 7

The equation is: y = - 1/3 x + 7

y = -1/3 x
You might be interested in
Help, please! This question may take some time to answer.
tatyana61 [14]

Answer:

0.15-0.75p? YES

-0.45-0.6+0.75P? NO

-3(-0.05+0.25p)? YES

-3(0.15)+(-3)(0.2)+(-3)(0.25p)? NO

Step-by-step explanation:

-3(0.15-0.2+0.25p)

=-0.45+0.6-0.75p

=0.15-0.75p

1. 0.15-0.75p=0.15-0.75p? YES

2. -0.45-0.6+0.75P=0.15-0.75p?

-1.05+0.75p=0.15-0.75p? NO

3. -3(-0.05+0.25p)=0.15-0.75p?

0.15-0.75=0.15-0.75p? YES

4. -3(0.15)+(-3)(0.2)+(-3)(0.25p)=0.15-0.75p?

-0.45-0.6-0.75p=0.15-0.75p?

-1.05-0.75p=0.15-0.75p? NO

7 0
3 years ago
FInd mPQ <br> Geometry question, circles, arc length, chord length,
Fed [463]

Answer:

\text{B. }26}

Step-by-step explanation:

Since \overline{PN} and \overline{PQ} are equal, we can set them equal to each other:

7x+5=10x-4,\\9=3x,\\x=3

Substitute x=3 to solve for \overline{PQ}:

\overline{PQ}=10(3)-4=\boxed{\text{B. }26}}

3 0
3 years ago
Which point on the number line below best represent 30
san4es73 [151]
Where’s the number line?
5 0
3 years ago
Read 2 more answers
Complete the table for the number of trees planted compared to the number of trees that continue to
Sedaia [141]

Answer:

the answer is gonna be 55 ,34

Step-by-step explanation:

4 0
3 years ago
James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired a
ipn [44]

Let the speed of walking of James = x mile/hour

            speed of jogging = 2x mile/hour

9/2x + 1.5/x = 2

or, (9 + 3)/2x = 2

or, 12 = 4x

or, x = 3

Average speed of walking = 3 mile/hour

Average speed of jogging = 2 * 3 = 6 mile/hour

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jackie wants to ship a box o hockey sticks to a sports camp she is using the box
    9·2 answers
  • 1) Suppose that a company will select 3 people from a collection of 15 applicants to serve as a regional manager, a branch manag
    9·1 answer
  • A car weighs about
    6·1 answer
  • IS THIS CORRECT?! I HAVE A BACK SIDE TOO, IF ANYTHING IS WRONG PLS PLS LMK!!
    13·1 answer
  • 95, 45, 37, 82, 90, 100, 91, 78,67,84,85,85, 82, 91,
    15·1 answer
  • Solve the equation 5.5(x-3)=17+10.5 in systems of equations. How can you find your solution?
    15·1 answer
  • GIVING BRAINLIEST PLEASE HELPPPPPPPPPPPPP
    6·2 answers
  • The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the bas
    9·1 answer
  • Help plz I don’t understand how to do this math below
    11·2 answers
  • Which Venn diagram shows the correct relationship among different set of numbers and correct numbers placement of -648
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!