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3 years ago

Write an equation of a line in Slope-Intercept Form that passes through the points (3, -2) and (1, 4)

Mathematics

1 answer:

Lena [83]3 years ago

6 0

Answer:

The equation of the line would be y = -3x + 7

Step-by-step explanation:

In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.

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

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

m = 6 /-2

m = -3

Now that we have this, we can use point-slope form along with one of the points to get the equation.

y - y1 = m(x -x1)

y - 4 = -3(x - 1)

y - 4 = -3x + 3

y = -3x + 7

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A line intersects the points (-9, -2) and (5, 1).

yanalaym [24]

Answer:

$slope \: = \frac{ y - {y}^{0} }{x - {x}^{0} } \\ = > \frac{1 - ( - 2)}{5 - ( - 9)} = \frac{1 + 2}{5 + 9} \\ = > \frac{3}{14} \\ = = = = = =$

<h2>HOPE U UNDERSTOOD..</h2>

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4 years ago

What is it multiplying by? 784.5, 78.45, 7.845,0.7845, 0.07845

katrin [286]

Answer:

10,100,1000,-10,-100,-1000

Step-by-step explanation:

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3 years ago

At a certain time of day, a tree 15 m tall cast a shadow of 12 m, while a second tree cast a shadow of 20 m. How tall is the sec

lilavasa [31]

25 metres tall.

Explanation:

The heights of the trees are directly proportional to the length of their shadows because at the same time of day, the sun will be at the same angle in the sky.

The trees and their shadows form 2 similar triangles:
Write as a proportion:

heightshadow x20=1512

12x=20×15

x=20×1512

x=25 metres tall.

As check: find the constant for each tree:

1512=1.25 and 2520=1.25

i hope this help

8 0

4 years ago

You have two pieces for fabric. One piece is 6 feet wide and the other piece is 7.5 feet wide. You want to cut both pieces into

My name is Ann [436]

Answer:

Strips should be 1.5 ft wide.

Step-by-step explanation:

Given:

Width of 1st piece = 6 ft

Width of 2nd piece = 7.5 ft

To find:

To find the maximum width possible to make strips of equal size from both the pieces.

Solution:

This problem can be visualized as if we are given two numbers and we have to find the Highest common factor for both of them i.e. HCF of 6 and 7.5 will be our answer.

Let us try to factorize the given factors:

$7.5 = 3 \times 2.5 = \underline {3 \times 0.5} \times 5$

$6 = 3 \times 2 = \underline {3 \times 0.5 }\times 2$

The common factors are highlighted above as underlined.

Therefore, the answer is 3 $\times$ 0.5 = 1.5 ft

Strips should be 1.5 ft wide.

5 0

3 years ago

Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on t

aleksandrvk [35]

It will take them approximately 3 months to pay off the balance on the credit card

<h3 /><h3>First Month</h3>

To solve this problem, we need to find the interest on 3287.90 at 14.5%

for the first month, we would have

$\frac{x}{3287.90}=\frac{14.5}{100} \\x=476.74$

Now we divide this by 12 to give the interest payable on the first month

$\frac{476.75}{12}=39.73$

So we have

$(3287.90+39.73)-1200=2127.63$

<h3>Second Month</h3>

We would do the same thing for the second month and it will give us

$(\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71$

For the second month, we have $25.71 as the interest payable

We can calculate how much would be left after the second month.

$(2127.63+25.71)-1200=953.34$

<h3 /><h3>Third Month</h3>

In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.

From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.

The balance at the end of each month are;

$2,127.63
$953.34
$0

Learn more on APR here;

brainly.com/question/11686424

6 0

2 years ago