The document provides a study guide for a Power Point test covering topics from Thursday's test as well as formulas. It includes warm-up problems on ratios, unit conversions, and simplifying expressions. It reviews finding slopes and determining if lines are parallel. It discusses writing equations of lines given a point and the equation of a parallel or perpendicular line. Sample problems are worked through demonstrating how to find the equation of a line passing through a point that is parallel or perpendicular to another given line.
6. Review:
3.
4. Use the table of ordered pairs to write
an equation in slope-intercept form and
then graph the line showing both
intercepts.
7. Review:
Are the lines 6 x 3 y 5 and 2 y 4 x 4 parallel?
6x 3y 5 2y 4x 4 Since the slopes are different
3y 6x 5 the lines are not parallel.
y 2x 2
y 2x 5
3 m 2
m 2
8. Writing Equations of Lines
C. Given a point and the equation of a line parallel to it.
A Find the equation of the line that passes
through (1, -5) and is parallel to 4x – 2y =3.
Solution: x1 = 1 y1 = -5
Rewrite the equation to slope- intercept
form to get the slope.
9. Writing Equations of Lines
D. Given a point and equation of a line perpendicular to it.
B Find the equation of the line that passes through (1, -5)
and is perpendicular to 4x – 2y =3.
Solution: x1 = 1 y1 = -5
Rewrite the equation to slope- intercept
form to get the slope.
m = -½
