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olga_2 [115]
2 years ago
5

Find the slope of the line passing through the points (-3,4) and (2,-1)

Mathematics
2 answers:
Licemer1 [7]2 years ago
5 0
Slope formula: \frac{y_2 - y_1}{x_2 - x_1}

First, you would need to plug the coordinates into the formula for slope. 
\frac{-1 - 4}{2 - (-3)}

Now, all you have to do is solve and simplify it.
\frac{-1 - 4}{2 - (-3)} = \frac{-5}{5} = -1

The slope of the line is -1. 

I hope this helps!
astra-53 [7]2 years ago
4 0
Hello! The formula for finding slope is y2- y1 / x2- x1. That means subtract the first y-coordinate from the second y-coordinate and the first x-coordinate from the second x-coordinate. Plug in the values to have it like this: -1 - 4 / 2 - (-3). When you subtract the numbers, you get -5/5 or just simply -1. The slope of the line is -1.
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Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer for 45 minutes longer than she plays golf. P
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Answer:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

Step-by-step explanation:

Given that Angela plays soccer and golf for a total of 125 minutes everyday.

Number of minutes she plays golf = x minutes

Number of minutes she plays soccer = y minutes

<u>Part A:</u>

Total time she plays golf and soccer is 125 minutes.

x+y=125 ...... (1)

Angela plays Soccer for 45 minutes longer than she plays golf i.e.

y = x+45 ....... (2)

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x + y=125, y = x +45

<u>Part B:</u>

Let us solve the linear equations (1) and (2):

Putting value of y from equation (2) into equation (1):

x+x+45=125 \\\Rightarrow 2x+45=125\\\Rightarrow 2x=80\\\Rightarrow x=40

Putting value of x in equation (2):

y = 40 +45 = 85\ minutes

Angela plays golf for 85 minutes daily.

<u>Part C:</u>

Given that

Angela spends 80 minutes on soccer.

Total Time = 125 minutes

\Rightarrow Time spent on golf = 125 - 80 = 45 minutes

Time spent on soccer longer than golf = 80 - 45 = 35 minutes \neq 45 minutes

Hence, it is not possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf.

So, the answers are:

Part A) x + y=125, y = x +45

Part B) 85 minutes

Part C) Not possible

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