For the graph y = -8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.
a horizontal line has slope = 0
A line perpendicular has an undefined slope, since 1/0 is undefined.
To find the slope of a line perpendicular to y = -8, we first need to determine the slope of the given line. In this case, since the equation is in the form y = mx + b, where m represents the slope, the slope of y = -8 is 0. This means that any line perpendicular to it will have a slope that is the negative reciprocal of 0, which is undefined.
On the other hand, a line parallel to y = -8 will have the same slope. Since the slope of y = -8 is 0, any line that is parallel to it will also have a slope of 0.
To find the slope of a line perpendicular to y = -8, we need to find the negative reciprocal of its slope. The slope-intercept form of the given equation is y = 0x - 8, where the slope is 0. The negative reciprocal of 0 is undefined because dividing any number by 0 is not possible. Therefore, a line perpendicular to y = -8 will have an undefined slope.
On the other hand, a line parallel to y = -8 will have the same slope as y = -8 since parallel lines have equal slopes. Thus, the slope of a line parallel to y = -8 is also 0.