Give the equation of a line that is perpendicular to the graph of
each equation. I do not understand.
y=12
Would I just write the opposite?
y = -12
y = 12 is a horizontal line
A line perpendicular to y=12 is any vertical line.
For example x = 0 or x = 1578735 or x = any real number.
Wouldn't the answer be -1/12
Wouldn't the answer be y=.05x + -1-12
To find the equation of a line that is perpendicular to the graph of a given equation, you need to determine the slope of the given equation and then find the negative reciprocal of that slope.
For the equation y=12, since it does not have an x-term, it is a horizontal line. The slope of a horizontal line is always 0.
To find a line perpendicular to a horizontal line with a slope of 0, you need to find a vertical line. A vertical line does not have an equation of the form y=mx+b, as it does not pass the vertical line test.
Therefore, there is no equation of a line that is perpendicular to the graph of y=12.