Question

What is the slope of the line? 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction (Choice B) B \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction (Choice C) C \dfrac32 2 3 ​ start fraction, 3, divided by, 2, end fraction (Choice D) D \dfrac43 3 4 ​

Answer 1

Above answer is INCORRECT.

The CORRECT answer is 2/3

Explanation:

Answer 2

Slope of the line, m = 4/3

Explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3