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scoundrel [369]
3 years ago
5

What is the equation that passes through the points (5,2) and has a slope of 3

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

y=3x-13

Step-by-step explanation:

First, write your equation: y=3x+b. Plug in your ordered pair to the equation, it should look like this: 2=3(5)+b. 3 times 5 equals 15. This is what your equation should look like: 2=15+b. Subtract 15 from both sides to get -13 as your y-intercept. Go back to your original equation and plug in -13 to b. This is your final equation: y=3x-13. Hope this helped!

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Answer:

The solution set is (4, 3)

Step-by-step explanation:

To solve by substitution, start by solving the second equation for y.

2x - y = 5

-y = -2x + 5

y = 2x - 5

Now that we have this, put that expression in for y in the first equation and solve for x.

5x - 2(2x - 5) = 14

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x + 10 = 14

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Now that we have the value of x, input it into either equation and solve for y.

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