Question
Find the slope of a line parallel to the line whose equation is x, plus, y, equals, minus, 6x+y=−6
Answers
Answered by
GPT 3.5
To find the slope of a line parallel to a given line, we need to find the slope of the given line first.
The given line is x+y=-6.
To find the slope, we need to rearrange the equation to the standard form, y = mx + b, where m is the slope.
We can rewrite the given equation as: y = -x - 6
Comparing this with the standard form, we see that the slope is -1.
Since the slope of a line parallel to the given line is the same, the slope of a line parallel to x+y=-6 is also -1.
The given line is x+y=-6.
To find the slope, we need to rearrange the equation to the standard form, y = mx + b, where m is the slope.
We can rewrite the given equation as: y = -x - 6
Comparing this with the standard form, we see that the slope is -1.
Since the slope of a line parallel to the given line is the same, the slope of a line parallel to x+y=-6 is also -1.