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5 votes
What is the slope of the line represented by the equation 6x - 3y = 4

A. 2
B. 1/2
C. -1/2
D. -2

User Arshbot
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2 Answers

2 votes
a.2 is a just rewrite the problem
User Till Helge
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7.5k points
6 votes
Answer: A. 2

The first thing you want to do is isolate the y, meaning you have to rewrite the equation so that the y is on the left side by itself. The process is as follows.

6x - 3y = 4 Original equation
-3y = -6x + 4 Subtract the 6x from both sides
y = 2x - (4/3) Divide the entire equation by -3

y = 2x - (4/3) is the rewritten equation. According to the equation of a line, y = mx + b, the m is the slope. In this line, m = 2, thus the slope of the line is 2.
User Glynis
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