The document discusses graphing horizontal and vertical lines. It defines horizontal lines as having an equation of the form y=k, and vertical lines as having an equation of the form x=k. Examples of graphing specific horizontal and vertical lines are provided, as well as finding the equations of lines given points and finding intercepts of lines.

1. Objective- To graph horizontal and vertical lines. Graph x + y = 5 x y -2 7 -1 6 0 5 1 4 2 3 3 2 4 1 5 0 6 -1 x y Line is oblique

2. Graph. y = 3 x y -2 -1 0 1 2 3 4 5 3 3 3 3 3 3 3 3 x y Line is Horizontal Any line in the form y = k will be horizontal.

3. Graph. x = -2 x y -2 -1 0 1 2 3 4 5 x y Line is Vertical Any line in the form x = k will be vertical. -2 -2 -2 -2 -2 -2 -2 -2

4. Types of Lines Oblique Horizontal Vertical Ax + By = C y = k x = k 3x - 2y = 5 y = -7 A = 3 B = -2 C = 5 k = -7 A, B and C are integers (no fractions or decimals). k represents a rational number. Equation form Example Universal constants

5. Review Horizontal Line Vertical Line y = k x = k Perpendicular to y-axis. Perpendicular to x-axis.

6. A) Graph x = -4 on a number line. B) Graph x = -4 on a coordinate plane. -5 -4 -3 -2 -1 0 1 2 3 x y

7. Find the equation of the line described below. 1) Horizontal line through (3, 7). 2) Vertical line through (3, 7). 3) Horizontal line through (0, -5). 4) Vertical line through (0, -5). y = 7 x = 3 y = -5 x = 0

8. Finding Intercepts x-intercept = where the line crosses the x-axis y-intercept = where the line crosses the y-axis Horizontal Vertical x y x y y = 2 x = -1 x-int. = none y-int. = 2 x-int. = -1 y-int. = none

9. Find the x-intercept and y-intercept. 1) x = 5 2) 3) x = -1 x-intercept y-intercept x = 5 or (5,0) none none (-1,0) none