Equations Of Lines Worksheet With Answer Key (Page 3 of 6) in pdf

Equations Of Lines Worksheet With Answer Key Page 3

General Form of the Equation of a Line:

Every line has an equation that can be written in the

general for

, where A, B, and C are real numbers, and A and B are not both zero.

(Note: Solve the equation for y to find the slope and y-intercept.)

Example 5: Find the slope and the y-intercept for the line whose equation is

+ y

. 0

Example 6: Find the slope and the y-intercept for the line whose equation is

Parallel Lines

Perpendicular Lines

Slopes are negative reciprocals.*

−

Slopes are equal.*

m =

The product of their slopes is -1.*

A horizontal line with slope = 0 is perpendicular to

Vertical lines (undefined slopes) are parallel.

a vertical line with an undefined slope.

*If the lines are not vertical lines.

Example 7: Find an equation for the line through the point (-1, 3) and parallel to the line whose equation

. Write the equation in slope-intercept form.

− y

−

Page 3 (Section 2.3)

Equations Of Lines Worksheet With Answer Key Page 3