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3 years ago

What is the slope of the line that passes through the points (8,7) and (4,5)?

Mathematics

2 answers:

musickatia [10]3 years ago

6 0

Answer:

The slope is $\frac{1}{2}$

Step-by-step explanation:

The slope formula is $\frac{y2-y1}{x2-x1}$

(8, 7) is (x1, y1)

(4, 5) is (x2, y2)

Plug in the values:

$\frac{5-7}{4-8}$

solve:

$\frac{-2}{-4}$

$\frac{1}{2}$

The slope is $\frac{1}{2}$

Varvara68 [4.7K]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

Y2-y1/x2-x1

-2/-4

1/2

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2 years ago

Read 2 more answers

Solve by elimination:

Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

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Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

-9x - 6y = -123

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0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

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-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

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2 years ago

Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w

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Let $k$ be an integer. Suppose there is a triangle with legs of length 16 and $2k+1$ . Then by the Pythagorean theorem, the length of the hypotenuse should be

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The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if $x=16$ and $y=2k+1$ are integers, then so are $x^2-y^2$ , $2xy$ , and $x^2+y^2$ .

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2 years ago

Right △ABC has coordinates A(-7, 3), B(-7, 10), and C(-1, 3). The triangle is reflected over the x-axis and then reflected again

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2 years ago

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Why did the inequality sign flip?

kumpel [21]

Answer:

We multiplied by a negative number (-8)

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Step-by-step explanation:

Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation

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