What similarities and differences do perpendicular lines have?
y=3/2x-1
Practice makes perfect
When lines are perpendicular, their slopes will be opposite reciprocals of one another. With this, we know that all lines that are perpendicular to our given line,
y=- 2/3x,
will have a slope of 32. With this information, we can write a general equation for all lines with a slope perpendicular to that of the given equation:
y=3/2x+b.
We are asked to write the equation of a line perpendicular to the given equation that passes through the given point. If we substitute (2,2) into the general equation, we can solve for the y-intercept of the perpendicular line.
