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

c)

Step-by-step 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]

* 1⅓ = 4⁄3

I am joyous to assist you anytime.

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.