2 years ago

What is the opposite of -4 on the number line?

Mathematics

2 answers:

Allushta [10]2 years ago

8 0

The opposite of -4 should be 4.

il63 [147K]2 years ago

7 0

The answer is 4. -4 is the opposite of 4

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insens350 [35]

To start, the equation has to be converted to slope-intercept form, or $y=mx+b$ . Start by subtracting x from both sides; $x-x+2y=4$ , $2y=4-x$ . Switch 4 and -x around to conform to the formula; $2y=-x+4$ . Then divide by 2 to isolate y; $y=-\frac{1}{2}x+2$ . This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is $-\frac{1}{4}$ , the opposite reciprocal of $-\frac{1}{5}$ is 5) the opposite reciprocal of $-\frac{1}{2}$ is 2. So the equation of the line is $y=2x$ , and the answer is A.