### Concept (1)

There are special rules to help us find the equation of a line given an equation of a line that is parallel or perpendicular to it. Parallel and perpendicular lines have related slopes. Parallel lines have equivalent slopes and perpendicular lines have negative inverses of their slopes. To fully understand and apply this concept, we should be familiar with the slope and the slope-intercept form of an equation.

### Sample Problems (10)

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Write the equation of the line parallel to y = 2x − 4 through the point (1,3).

###### Problem 1
How to write the equation of a line parallel to a given line through a given point.

Write the equation of the line perpindicular to y = 2x − 4 that contains the point (1,3).

###### Problem 2
How to write the equation of a line perpendicular to a given line through a given point.

Write the equation of the line perpindicular to 2y + 3x = 4 through the point (-1,2).

###### Problem 3
How to write the equation of a line perpendicular to a given line that is not in slope intercept form.
###### Problem 4
Classifying quadrilaterals given based on the slopes of parallel and perpendicular lines
###### Problem 5
Using slopes to determine whether or not three coordinates determine a right triangle
###### Problem 6
Determining whether or not two equations represent perpendicular lines
###### Problem 7
Write the equation for a line parallel to a given line through a given slope in point slope and then slope intercept form, including fractional slopes
###### Problem 8
Determining whether two lines are parallel from their equations
###### Problem 9
Write the equation for a line parallel to a given line through a given slope in point slope and then slope intercept form with integer slope
###### Problem 10
Write the equation for a line perpendicular to a given line through a given slope in point slope and then slope intercept form