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navik [9.2K]
3 years ago
9

**Marking Brainliest** Which of the following are point-slope equations of the line going through (-4, 6) and (1, 2)? Check all

that apply.​

Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

Options A and D

Step-by-step explanation:

Point Slope is:

y-y_1=m(x-x_1)\\\rightarrow 'm' - Slope\\\rightarrow (x_1,y_1) - Coordinate

We need to find the equation for the line that passes through (-4, 6) and (1, 2).

We are only given the two points, so we need to use them to find the slope.

m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{1+4}=\frac{-4}{5}  =-\frac{4}{5}

The slope is -4/5. There are more than one option, as they use the same slope but the two different points.

With (-4,6) as (x1,y1):

y-6=-\frac{4}{5}(x+4)

With (1,2) as (x1,y1):

y-2=-\frac{4}{5}(x-1)

Options A and D should be the correct answers.

<em>Brainliest Appreciated. </em>

Katena32 [7]3 years ago
4 0

Answer:

A C D E are correct choices

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3 years ago
$13,168is invested, part at 13%and the rest at
Kryger [21]

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the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

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The formula for determining simple interest is expressed as

I = PRT/100

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R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

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Considering the amount invested at 5%,

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I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

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