Find the slope of a line parallel to the line whose equation is 6, x, plus, y, equals, minus, 36x+y=−3
To find the slope of a line parallel to the given line, we need to find the slope of the given line first. The equation of the given line is 6x + y = -36x + y = -3.
To find the slope, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope.
Rearranging the given equation, we get y = -36x - 3.
Comparing this equation with the slope-intercept form, we can see that the slope of the given line is -36.
Since lines that are parallel have the same slope, the slope of any line parallel to the given line is also -36.