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What is the slope and one point that the line 5x-6y=15 passes through?

The slope of the line is:

One point the line passes through is:

User Block
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1 Answer

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Answer:

slope: 5/6

point: (3, 0)

Explanation:

You want the slope and a point on the line given by 5x -6y = 15.

Slope

The slope can be found by solving for y:

5x -15 = 6y . . . . . add 6y-15

5/6x -15/6 = y . . . . . divide by 6

The coefficient of x is the slope: 5/6.

The slope of the line is 5/6.

Point

It is convenient to use one of the intercepts as a point on the line. Since 15 is not divisible by 6 (the coefficient of y), we can choose y=0 and find the x-intercept.

5x -6·0 = 15 . . . . . use y=0 in the equation

x = 15/5 = 3 . . . . . . divide by 5 to find the corresponding x

A point on the line is (x, y) = (3, 0).

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What is the slope and one point that the line 5x-6y=15 passes through? The slope of-example-1
User Sean Kelly
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