Question

Which equation represents a line with a slope of -2/3 that passes through point (5, -2)?

a) 2x + 3y = –11

b) 2x + 3y = –4

c) 2x + 3y = 4

d) 2x + 3y = 11

Answer 1

c)
`2x + 3y = 4`

Explanation:

−2 = −⅔[5] + b

−3⅓

1⅓ = b

y = −⅔x + 1⅓

Then convert to Standard Form:

y = −⅔x + 1⅓

+⅔x + ⅔x

__________

⅔x + y = 1⅓ [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

3[⅔x + y = 1⅓]

`2x + 3y = 4`

* 1⅓ = 4⁄3

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