# Which line represents the direct variation equation y = 1/2 x?line aline bline cline d

The line which represents the direct variation equation y = 1/2 x is: line c.

We know that every straight line has the equation

y = (slope) x + (y-intercept) .

Here, we have, this line y = 1/2 x,

the equation doesn't show any y-intercept.

The y-intercept is zero,

meaning that the line crosses the y-axis at the place where y=0.

That's the origin where the x- and y-axes cross.

so, we get, the line goes through the origin.

from the given graph we get,

There are only two lines there that go through the origin,

so one of those is the answer to the question.

Now, we have to find the slope of a line.

we know that,

If the slope of a line is positive, that means it rises as it goes.

If the slope of a line is negative, that means it falls as it goes.

The equation of the line is  [ y = 1/2 x ].

The slope is  1/2 .

That's positive.

The line on the graph slopes up.

so, we get,

In the picture, that can only be line 'c' .

Hence, The line which represents the direct variation equation y = 1/2 x is: line c.

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again, you need to remember that EVERY straight line has the equation

y = (slope) x + (y-intercept) .

Right away, you know that this line goes through the origin ...
the equation doesn't show any y-intercept.  The y-intercept is zero,
meaning that the line crosses the y-axis at the place where y=0.
That's the origin ... the place where the x- and y-axes cross.

Look at the graph they gave you. ... At first it looks like an ugly mess.
But look closer.  There are only two lines there that go through the origin,
so one of those is the answer to the question.

Now let's talk about the slope of a line.

-- If the slope of a line is positive, that means it rises as it goes.
If you walk the graph from left to right, you're climbing.

-- If the slope of a line is negative, that means it falls as it goes.
If you walk the graph from left to right, you're going down-hill.

The equation they gave you is  [ y = 1/2 x ].
The slope is  1/2 .  That's positive.
The line on the graph slopes up.  To walk it, you have to climb.

In the picture, that can only be line 'c' .

## Related Questions

What is the reciprocal of 2 3/8

To find what the reciprocal is, you have to turn a proper fraction upside down. For example, the reciprocal of 2/8 would be 8/2. However, when you have an improper fraction, you must first turn it into an improper fraction. To turn a mixed number into an improper fraction, multiply the denominator by the whole number and add the numerator. The denominator will stay the same. For example, to turn 2 3/8 into an improper fraction, multiply 8 by 2 and add 3. That equals to 19. The denominator will stay the same. So, the improper fraction for 2 3/8 is 19/8. Now, turn 19/8 into a reciprocal. 19/8 as a reciprocal would be 8/19.

Thank you!

The reciprocal of fraction 2(3/8) is 8/19.

We have,

To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.

Given the number 2 3/8, we first convert it to an improperfraction:

2 3/8 = (2 * 8 + 3) / 8 = 19/8

To find the reciprocal, we invert the fraction by swapping the numerator and denominator:

Reciprocal = 8/19

Therefore,

The reciprocal of fraction 2(3/8) is 8/19.

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Which speed is the fastest? A) 18 feet in 20 minutes
B) 90 feet in 2.5 hours
C) 20 yards in 1.5 hours
D) 3 2/3 yards in 15 minutes

D 32/3 yards in 15 min

Which expression correctly represents “ten times the difference of a number and six”

Expression will be 10(x - 6).

Step-by-step explanation:

Let the given number is x.

Difference of this number and 6 will be represented by

(x - 6)

Then ten times the difference of this number and 6 will be represented by

10(x - 6)

Therefore, the statement " ten times the difference of a number and six " will be represented  by the expression 10(x - 6)

10 * (m * 6)

Step-by-step explanation:

hope thats alright!

One bus leaves a stop every 12 minutes. A second bus leaves the same stop every 18 minutes. If they both leave at 3:20 P.M., at what time will the next leave together? (It is multiple choice and the choices are... A.3:32pm B.3:38pm C.3:50pm D.3:56pm) NEED HELP PLEASE!!!!

3:20 + 12= 3:32
3:20 + 18=3:38
3:32 + 12=3:44
3:38 + 18=3:56
3:44 + 12=3:56

xavier jogs 3 7/10 miles to the baseball field stacey jogs 1 4/10 milesto the same field. how many more milesdoes xavier jogs than stacey

2 3/10 because 3-1=2 and 7-4=3

Mr. Grayson owns a wood company that sells trees. Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr. Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He finds a palm tree that he thinks might meet the customer’s specifications. The tree is located at coordinates (35, 28). He calls his assistant to come over to help him determine the height of the tree. He asks his assistant where she’s located. His assistant says she is located at (70, 15). Each unit on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest tenth. Show your work. Pls and Thank you <3

distanc formula
the distance betwen points (x1,y1) and (x2,y2)  is
D=

so
distance betwen him and assistant is
distance between (35,28) and (70,15)

D=
D=
D=
D=
D=37.3363