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rewona [7]
3 years ago
6

(3,-2) (4,5) m = [?]

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer:

m = 7

Step-by-step explanation:

Use the slope formula.

m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}

The slope is 7.

Hope this helps.

timofeeve [1]3 years ago
8 0

Answer:

m=7

Step-by-step explanation:

Slope is the change in Y over the change in X

The change in Y is 7

The change in X is 1

7/1 = 7

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
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Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

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Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

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F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

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