Consider the line 6x-4y=-9
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
To find the slope of a line perpendicular to a given line, we first need to find the slope of the given line by rearranging it into slope-intercept form (y = mx + b), where m is the slope.
6x - 4y = -9
-4y = -6x - 9
y = (6/4)x + 9/4
y = (3/2)x + 9/4
The slope of the given line is 3/2. A line perpendicular to this line will have a slope that is the negative reciprocal of 3/2, which is -2/3. Therefore, the slope of a line perpendicular to the given line is -2/3.
For a line parallel to the given line, the slope will be the same as that of the given line, which is 3/2. Therefore, the slope of a line parallel to the given line is 3/2.