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3 years ago

Write the equation of the line that passes through the points (2,2) and (3,4)

Mathematics

1 answer:

Scrat [10]3 years ago

8 0

9514 1404 393

Answer:

y -2 = 2(x -2)

Step-by-step explanation:

The slope of the line is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (4 -2)/(3 -2) = 2/1 = 2

The point-slope form of the equation for the line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the first point and the slope we found, the equation is ...

y -2 = 2(x -2)

You can rearrange this to any form you may like.

y -2 = 2x -4 . . . eliminate parentheses

y = 2x -2 . . . . . slope-intercept form

2x -y = 2 . . . . . standard form

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There are 36 cupcakes. 9 of them are chocolate. What percent are chocolate?

inn [45]

Answer:

25%

Step-by-step explanation:

9/36 = 0.25

25% are chocolate.

7 0

4 years ago

Jane moved from a house with 66 square feet of closet space to an apartment with 34.98 square feet of closet space. What is the

Kryger [21]

There is a 47% decrease in Jane's closet space.

Step-by-step explanation:

Old measurement of closet = 66 square feet

New measurement of closet = 34.98 square feet

Change = New value - Old value

Change = 34.98 - 66 = -31.02 square feet

The negative sign indicates the decrease.

Decrease percent = $\frac{Change}{Old\ value}*100$

$Decrease\ percent=\frac{31.02}{66}*100 = \frac{3102}{66}\\Decrease\ percent=47\%$

There is a 47% decrease in Jane's closet space.

Keywords: decrease, percentage

Learn more about percentages at:

#LearnwithBrainly

8 0

3 years ago

Please help me with this

MissTica

Answer:

For the question on the right, I assume b is the exponential factor, or growth factor.

Step-by-step explanation:

Linear:

$Y=aX + b\\(X, Y) = (0, 15) => b = 15\\(X,Y) = (1, 12) => a = -3\\Y = -3X + 15$

You can find the equation by using two points and the equation for a line.

Exponential:

$Y = a^{bX+c}\\(X, Y) = (0, 81) => a^{c} = 81 => a^{c} = 3^{4} => a=3, c=4\\(X, Y) = (1, 27) => a^{b+c} = 27 => a^{b}a^{c} = 27 => a^{b} = \frac{27}{81} = \frac{1}{3} => b=-1\\Y = 3^{-X+4}$

6 0

3 years ago

50% of what number is 307

balandron [24]

Answer:

614

Step-by-step explanation:

Let the number be x.

50% × x = 307

0.5x = 307

x = 307/0.5

x = 614

50% of 614 is 307.

8 0

3 years ago

Read 2 more answers

A car travels 81 miles in 3 hours. If it continues traveling at the same rate, how many miles would it travel in 5 hours?

wel

The car would travel 135 miles bc you multiply 81×5 and get 405 ,then divide that answer by 3

8 0

3 years ago