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notsponge [240]
3 years ago
14

Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)

Mathematics
2 answers:
fiasKO [112]3 years ago
3 0

Answer: m=-\frac{8}{7}

Step-by-step explanation:

To calculate  the slope of the line that has the coordinates given in the problem you must use the formula shown below:

m=\frac{y_2-y_1}{x_2-x_1}

Given the points (-3, 6) (4,-2), when you substitute them into the eequation shown above, you obtain that the slope is the following:

m=\frac{-2-6}{4-(-3)}\\m=-\frac{8}{7}

Bad White [126]3 years ago
3 0

<u>Answer:</u>

- \frac { 8 } { 7 }

<u>Step-by-step explanation:</u>

We are given the following two points on a line and we are to find the slope of this line:

(-3, 6) and (4,-2)

We know the formula of the slope is given by:

\frac { y_2 - y_1 } { x_2 - x_1 }

Substituting the given coordinates in the above formula to get:

Slope = \frac { - 2 - 6 } { 4 - - 3 } = - \frac { 8 } { 7 }

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The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

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7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

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