Section 1.4 Linear Concepts Name: _________________________

#1.) What is the equation for the slope of a line?

#2.) What is Slope-Intercept Form of a line?

#3.) What is the Point-Slope Form of a line?

#4.) What is the equation of a Horizontal line?

#5.) What is the equation of a Vertical line?

#6.) What is the General Form of a line?

Use the slope formula to find the slope of the line containing each pair of points.

#7.) (3,2) and (9, 5) #8.) (4, 17) and (12, 3) #9.) (3, -2) and (-1, 6)

#10.) (12, -3) and (12, 9) #11.) (21, -10) and (6, -5) #12.) (-18, 24) and (8, 24)

Write each equation into slope intercept form and graph.

#13.) 5x + 3y = 12 #14.) 2x = 2y + 10 #15.) -7x +2y + 21 = 0

Write an equation of the line for each of situations.

#16.) 𝑚 = −1

2 𝑎𝑛𝑑 (16, −10) #17.) 𝑚 = 0 𝑎𝑛𝑑 (−3, −4) #18.) 𝑚 = −5 𝑎𝑛𝑑 (4, −1)

#19.) 𝑚 𝑖𝑠 𝑢𝑛𝑑𝑒𝑓𝑖𝑛𝑒𝑑 𝑎𝑛𝑑 (2, −5) #20.) (9, 4)𝑎𝑛𝑑 (7, −2) #21.) (8, −2)𝑎𝑛𝑑 (4, −3)

#22.) find the equation of the line parallel to 𝑦 = −2

3𝑥 + 5 and passes through the point (-12, 1)

#23.) find the equation of the line perpendicular to 𝑦 =1

6𝑥 − 2 and passes through the point (-1, 9)

#24.) find the equation of the line parallel to y = -10 and passes through (11, 12).

#25.) A car salesperson earns a base salary of $40,000 plus a commission of $300 for every vehicle sold. Write an

equation that shows the total amount of income the salesperson earns (S), if her sells x vehicles in a year.

#26.) The linear model above shows the total income for the salesperson. What would be the salesperson’s income if he

sold 150 vehicles? How many vehicles would the salesperson need to sell to earn a $100,000 income?

#27.) Find the General Form of the line which contains the point (-5, 3) and is perpendicular to 5x – 2y = 6.

#28.) Find the General Form of the line which contains the point (8, 1) and is perpendicular to 𝑦 = −4

3𝑥 + 2