Any line parallel to 2x+y=6 has a slope of
Mathematics · Middle School · Thu Feb 04 2021
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Given the line:
2x + y = 6
Explanation:
Any line that is parallel to the line 2x + y = 6 has a slope of -2. This can be proven by solving for y in the given equation. To do so, we simply need to transpose 2x to the other side of the equation, hence it must be taken to note that in transposing a number the sign changes.
Solution:
2x + y = 6
y = -2x + 6
The equation illustrate slope-intercept form, represented as,
y = mx + b
m = slope of the line
y = y-intercept
If a line is parallel to the equation, then it means that they have the same slope.
Final answer:
m = -2