MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

Answer:

$y = -(1)/(3) x + 7$

Step-by-step explanation:

Given: y = $-(1)/(3) x + 4$ 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) = $-(1)/(3)$

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 = $-(1)/(3)$ 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 = $-(1)/(3) *6 + b$

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 = $-(1)/(3) x + 7$

Answer 2

Answer: 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

Related Questions

Russell conducted an experiment where he collected snow in a container, measured it, and then measured the amount of water in the container after the snow had melted. He created the graph below to display his findings.Based on the graph, what does the point (0, 0) represent?A. The collection of 0 inches of snow results in no water.B. The collection of 0 inches of water results in no snow.C. The amount of snow was not proportional to the amount of water.D. The rate of inches of rain to inches of snow was 0.1125.
Evaluate. 5!/3! answers 20 60 120
What is the perimeter and area of the shape? HELPPP giving 20 points
A contraction crew has just finished building a road . The road is 10 kilometers long if the crew worked for 3 3/4 days how many kilometers of road did they build each day
A queen size mattress has a catalog price of $428.99. The trade-discount rate is 20%. What is the net price to the nearest cent?

Which term does not belong with the other three? Please help !

Answers

Answer: If I’m not mistaken, I’m pretty sure it’s the second choice.

Step-by-step explanation: From what I can tell, the other three are all similar to each other and the third choice seems to be the odd one out. I hope I was correct!

How do you solve the function y = 2.5^x for y=20

Answers

$y=2.5^x;\ y=20\n\n2.5^x=20\n\nlog_(2.5)2.5^x=log_(2.5)20\n\nx=log_(2.5)20\n\nx=log_(2.5)(2.5\cdot8)\n\nx=log_(2.5)2.5}+log_(2.5)8\n\nx=1+log_(2.5)8$

How are equivalent fractions used when subtracting unlike fractions

Answers

they are used because when fractions Come you have to multiple and divide and subtract

(Quick please ) !!!!!!!!!!!!!!!! Help me!!!!! find the surface area of the rectangular prism!!!!!! thank you

Answers

You can do this !

The rectangular prism has

   -- length = 10 cm
   -- width = 7 cm
   -- height = 3 cm.

-- The area of the top and bottom is (length x width) each.

-- The area of the left and right sides is (length x height) each.

-- The area of the front and back is (width x height) each.

There. I just laid out all the schmartz you need to answer this question.
The rest is all simple arithmetic, and you're perfectly capable of turning
the crank and getting the answer. You don't need anybody else to do
that part for you.

Don't forget your units. The area of each flat face is (cm) times (cm),
and that product will be some cm² , for area.

A manufacturer makes ball bearings out of molten steel. It takes 5.24 cubic centimeters of molten steel to make ? ball bearings that each have a diameter of 1 centimeter.

Answers

So we want to know how much ball bearings can be made with 5.24 cm^3 if one ball bearing has a diameter of 1 cm. We know that radius r=d/2=0.5cm So the volume V of one ball bearing is: V=(4/3)*pi*r^3 so V=(4/3)*3.14*(0.5)^3cm^3=0.524cm^3. Now we simply divide the volume of steel by the volume of the ball bearing: 5.24/0.524=10. So we can make 10 ball bearings from 5.24 cm^3 of steel

Answer: 10 ball bearings

Plato is annoying

Step-by-step explanation:

Divide. (-5w + 10w^8 + 5w^6) / (5w^5)A.
-w^5+5w^3+w

B.
-5w^5 +10w^8+w

C.
-w^5+10w^8+5w^6

D.
-w^5+2w^3+w

Answers

If you would like to solve (-5w + 10w^8 + 5w^6) / (5w^5), you can do this using the following steps:

(-5w + 10w^8 + 5w^6) / (5w^5) = (-w + 2w^8 + w^6) / (w^5) = (2w^8 + w^6 - w) / (w^5) = 2w^3 + w - 1/(w^4)

None of the above results is correct. The correct result would be 2w^3 + w - 1/(w^4).

Answer:

24 on ed

Step-by-step explanation:

Other Questions

What is the measure of angle 1?

1. What is the value of the digit 7 in the number 176 354?

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. What is the approximate height of the building to the nearest foot?A) 40 feet B) 49 feet Eliminate C) 56 feet D) 63 feet

The temperatures recorded one day at two cities are shown below:City L: −8° F City M: −9° F Which statement about the temperatures at the two cities is true? City M was warmer than City L because −9° F < −8° F. City M was warmer than City L because −9° F > −8° F. City M was colder than City L because −9° F > −8° F. City M was colder than City L because −9° F < −8° F.