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3 years ago

What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)?

Mathematics

1 answer:

omeli [17]3 years ago

3 0

The correct answer is D) y = 2x - 5

To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.

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

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

m = 4/2

m = 2

Now that we have the slope, we can use it along with either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5

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Which is the difference of 21 1/4 - 18 2/4? A:2 1/4. B:2 2/4. C:2 3/4. D:3 1/4.

seropon [69]

Answer:

2 3/4 C

Step-by-step explanation:

$(21+\frac{1}{4})-(18+\frac{2}{4})\\=21-18+\frac{1}{4} -\frac{2}{4} \\=3-\frac{1}{4} \\=\frac{12-1}{4} \\=\frac{11}{4} \\=2\frac{3}{4} \\or\\21\frac{1}{4} -18\frac{2}{4} \\=\frac{85}{4} -\frac{74}{4} \\=\frac{85-74}{4} \\=\frac{11}{4} \\=2\frac{3}{4}$

3 0

4 years ago

Uncle Bill has planted fruits in the farm and 7/12 is watermelon.2/3 of the watermelon section is ruined from the storm.The rest

inessss [21]

The fraction of his farm which isn’t ruined is 11/18

<h3>Fractions and proportion</h3>

Fractions are written as a ratio of two integers. The given question will be solved using the method of proportion.

If Uncle Bill has planted fruits in the farm and 7/12 is watermelon, and 2/3 of the watermelon section is ruined from the storm, the fraction ruined from the storm is;

Fraction ruined from the storm = 2/3* (7/12)

Simplify to its lowest term to have:

Fraction ruined from the storm = 7/18

Determine the fraction of the firm that is not ruined

Fraction not ruined = 1 - 7/18

Fraction not ruined = 11/18

Hence the fraction of his farm which isn’t ruined is 11/18 if uncle Bill has planted fruits in the farm and 7/12 is watermelon.

Learn more on fraction here: brainly.com/question/17220365
#SPJ1

6 0

2 years ago

The manager of a restaurant found that the cost to produce 150 cups of coffee is $ 20.00, while the cost to produce 400 cups i

34kurt

Answer: Our required linear equation would be $10y-x=50$

Step-by-step explanation:

Since we have given that

Number of cups = 150

Cost = $20

Number of cups = 400

Cost = $45

Let x be the number of cups, y be the cost .

We will use "Equation of line using Two point slope":

$y-20=\dfrac{45-20}{400-150}(x-150)\\\\y-20=\dfrac{25}{250}(x-150)\\\\10(y-20)=(x-150)\\\\10y-200=x-150\\\\10y-x=-150+200\\\\10y-x=50$

Hence, our required linear equation would be $10y-x=50$

4 0

3 years ago

Solve the Equation for y . 9x +5y = -2

ASHA 777 [7]

Answer:

$\large\boxed{y=\dfrac{-9x-2}{5}}$

Step-by-step explanation:

$9x+5y=-2\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\5y=-9x-2\qquad\text{divide both sides by 5}\\\\y=\dfrac{-9x-2}{5}$

3 0

3 years ago

A typical security camera frame rate is 30 frames per second. If a security incident over a 27 second period must be examined, h

just olya [345]

Answer:

810 frames

Step-by-step explanation:

30 frames per 1 sec : 'f' frames per 27 sec

30 x 27 = 810

3 0

3 years ago