Consider the line 2x+5y=-8
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 the given line, we first need to determine the slope of the given line.
The given line is in the form Ax + By = C, where A = 2, B = 5.
To find the slope of this line, we can rearrange the equation into slope-intercept form which is y = mx + b, where m is the slope.
So, 2x + 5y = -8
5y = -2x - 8
y = (-2/5)x - 8/5
Therefore, the slope of the given line is -2/5.
The slope of a line perpendicular to this line would be the negative reciprocal of -2/5, which is 5/2.
Therefore, the slope of a line perpendicular to the given line 2x + 5y = -8 is 5/2.
For a line parallel to the given line, the slope would be the same as the slope of the given line, which is -2/5.
Therefore, the slope of a line parallel to the given line 2x + 5y = -8 is -2/5.