Parallel & Perpendicular Lines Worksheet (Page 4 of 4) in pdf

Parallel & Perpendicular Lines Worksheet Page 4

PERPENDICULAR LINES

Perpendicular lines intersect to form _________________ ____________________.

________________ and ___________________ lines are perpendicular to each other.

Perpendicular lines have slopes that are __________________ _________________.

Example 2 – Write an equation of a perpendicular line

Write an equation of a line that passes through (4, -5) and is perpendicular to the line y = 2x + 3.

Step 1: Identify the slope of the given line.

* Remember: the equation MUST be in slope-intercept form first in order to tell slope

Step 2: Decide if you need a parallel or perpendicular slope.

* Since we want a line perpendicular to y = 2x + 3, we know that the slope of our line

needs to be __________ (_________________ _______________).

Step 3: Identify the slope and the point you will be using to write the new equation.

slope: _____

point: _______

Step 4: Substitute the slope and the point into point-slope form:

Step 5: Rewrite in slope-intercept form.

Your Turn

Write an equation in slope-intercept form of the line that:

3. passes through (4, 3)

4. is perpendicular to y = -3x + 1

is perpendicular to y = 4x – 7

passes through (-3, -3)

Parallel & Perpendicular Lines Worksheet Page 4