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2 years ago

Which equation represents a direct variation? y = 2x y = x + 4 y = x y =

2 answers:

4 0

The first equation is a direct variation. This type of equation has a form that is "y = kx," in which k is the constant. Changing both sides by a common multiple will still lead to the equation being evaluated as true, since the values will both increase by that multiple.

uranmaximum [27]2 years ago

3 0

Solution:

Meaning of Direct Variation:

Two quantities vary directly if two of them are directly proportional to each other.

For example : equation of any line passing through origin is an example of direct variation.

Their equation is given by : 1. x = k y or 2. y = k x where k is constant of variation.

Out of the options given : 1. y = 2 x

2. y = x are examples of direct Variation.

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Match each set of points with the slope of the line formed by the ordered pairs.

Fynjy0 [20]

1) The slope of the point (0,0) and (2,1) is 1/2.

2) The slope of the point (0,-1) and (2,-5) is -2.

3) The slope of the point (0,7) and (2,4) is -3/2.

4) The points (-1,3) and (-1,-3) has No slope.

5) The slope of the point (1,-3) and (-1,-3) is zero.

Step-by-step explanation:

There are five set of points given in the question.

You need to find out the slope of the line formed by the points.

The formula used to find the slope of a line is given by,

Slope = $\frac{y2-y1}{x2-x1}$

1) The given points are (0,0) and (2,1)

(x1,y1) ⇒ (0,0)

(x2,y2) ⇒ (2,1)

Slope = $\frac{1-0}{2-0}$

⇒ 1/2 is the slope.

2) The given points are (0,-1) and (2,-5)

(x1,y1) ⇒ (0,-1)

(x2,y2) ⇒ (2,-5)

Slope = $\frac{-5+1}{2-0}$

⇒ $\frac{-4}{2}$

⇒ -2 is the slope.

3) The given points are (0,7) and (2,4)

(x1,y1) ⇒ (0,7)

(x2,y2) ⇒ (2,4)

Slope = $\frac{4-7}{2-0}$

⇒ -3/2 is the slope.

4) The given points are (-1,3) and (-1,-3)

(x1,y1) ⇒ (-1,3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3-3}{-1+1}$

⇒ -6/0 (No slope)

If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.

∴ There is no slope.

5) The given points are (1,-3) and (-1,-3)

(x1,y1) ⇒ (1,-3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3+3}{-1-1}$

⇒ 0/-2

∴ The slope is zero.

5 0

2 years ago

Read 2 more answers

Which expression does not factor? m3 + 1 m3 – 1 m2 + 1 m2 – 1

lara [203]

I think the answer is m2+1. Hope this helps. :)

4 0

2 years ago

Read 2 more answers

An emu that measures 60 inches in height is 70 inches less than 5 times the height of a kakapo. What is the height of a kakapo i

Lunna [17]

We can solve the following equation: 5 x - 70 = 60, where x is the height of a kakapo in inches : 5 x - 70 + 70 = 60 + 70 ( we will add 70 to the both sides of an equation ), 5 x = 130, x = 130 : 5, x = 26 inches. We can prove it: 26 * 5 - 70 = 130 - 70 = 60 inches ( the height of an emu in inches ). Answer: The height of a kakapo is 26 inches.Hope I helped! :) Cheers!

7 0

2 years ago

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corre

frosja888 [35]

Answer:

ΔLK ΔJKL

Step-by-step explanation:

I'm not positive cause im still learning this

4 0

1 year ago

Read 2 more answers

Mary spent $45 at the mall. She bought lunch for $9. She bought 3 shirts at

oee [108]

Answer:

x = 12

Step-by-step explanation:

If Mary spent $45 altogether,

then she bought lunch for $9

so our equation now is

$45 = $9 + 3x

It is 3x because he bought 3 shirts and we used x because we didnt

now how much the price of those shirts were

$45 = $9 +3x

$45 - $9 = 3x

$45 - $9 = $36

$36 = 3x

$36 / 3 = 12

x = 12

Please mark this answer as the brainliest

4 0

2 years ago