Principles of MATH 10 REVIEW of LINES

Key Concepts: slope, intercepts (x-intercept and y-intercept), coordinate system, quadrants, slope formula, graphing from a table, graphing from slope and y-intercept, finding the slope of a line, standard form, slope y-intercept form, parallel and perpendicular lines

WARM-UP You should be able to answer the following quickly:

Part A

Part B

What is the slope of: y = 4x – 3? What is the y-intercept of y = 4x – 3? What is the slope of the line parallel to? What is the slope of the line perpendicular to? Find the slope of the line through (2,5) and (11,5)? What is the equation of the line with slope 7 and y-intercept 3? What is the x-intercept of 3x + 5y = 12? What is the y-intercept of 3x + 5y = 20? What is the slope of the line y=3? What is the y-intercept of the line ?

What is the slope of: y = 7x – 3? What is the y-intercept of y = 4x + 9? What is the slope of the line parallel to? What is the slope of the line perpendicular to? Find the slope of the line through (1,1) and (13,5)? What is the equation of the line with slope 3 and y-intercept 5? What is the x-intercept of 4x + 3y = 12? What is the y-intercept of 5x + 3y = 15? What is the slope of the line x=3? What is the y-intercept of the line ?

A. Change to standard form:

B. Change to slope y-intercept form

3x – 2y = 6 x + 3y = 8

C. Graph using the slope and intercept:

D. Make a table and graph 3x + 2y = 5

E. Graph using intercepts 2x + 3y = 6

F. Find the equation of a line:

1. With slope 5 and y-intercept 7. With slope –2/3 and y-intercept 9

2. Given x-intercept = 3, and y-intercept = 2 Given x-intercept = -5, and y-intercept = 3

3. With slope 3; through (2,5) With slope 2/3 through (5,–2)

4. Through (1,4) and (4,-2) Through (5,-2) and (7,5)

5. Parallel to 3x + 4y = –16 and through (5,5)

6. Perpendicular to 5x + 2y = 10 and through (5,5).