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ndicate in standard form the equation of the line passing through the given point and having the given slope, in the equation box below. D(5, –2) m = 2/5

User Chris Fei
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2 Answers

28 votes
28 votes

Answer:

2x - 5y = 20

Explanation:

Standard form should look like:

Ax + By = C

and the numbers A,B, and C have to be whole numbers (actually integers, because negative is okay too except A has to be positive)

You have been given a point and the slope. There is a shortcut, fill-in-the-blank equation called point-slope that you can just fill in a point and the slope. Then we can change that equation into standard form.

Point-slope equation:

y - Y = m(x - X)

Fill in (5, -2), which is the (X, Y). 5 in place of X and -2 in place of Y. Fill in 2/5 for the m which is slope.

y - Y = m(x - X)

y - -2 = 2/5(x - 5)

simplify, and distribute.

y + 2 = 2/5x - 2

Multiply through by 5 to get rid of the fraction.

5y + 10 = 2x - 10

Subtract 10.

5y = 2x -20

Subtract 2x.

5y - 2x = -20

Rearrange the terms.

-2x + 5y = -20

Multiply through by -1 (because that A has to be positive)

2x - 5y = 20

The equation in standard form is:

2x - 5y = 20

User Strttn
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3.5k points
12 votes
12 votes

Answer:

x - y = 3

Explanation:

User Mmeany
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2.2k points