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mughal_br
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Homework Statement
Find equation of the line which is perpendicular to the line
and has y-intercept = 6.
A perpendicular line is a line that intersects another line at a 90 degree angle, forming four right angles.
To find the equation of a line that is perpendicular to another line, you need to use the slope-intercept form of a line (y=mx+b). The slope of the perpendicular line will be the negative reciprocal of the slope of the original line. Once you have the new slope, you can use the point-slope form of a line (y-y1=m(x-x1)) to find the equation.
No, two lines cannot be perpendicular if they have the same slope. Perpendicular lines must have slopes that are negative reciprocals of each other.
A line can have an infinite number of equations that are perpendicular to another line. This is because the slope can vary while still maintaining a 90 degree angle with the original line.
Finding the equation of a line that is perpendicular to another line is important in many applications, such as geometry and engineering. It allows us to find the slope of one line based on the slope of another line, and can be used to find the shortest distance between two lines.