Show:
Slope-Intercept Form
Point-Slope Form
Standard Form
Word Problems
Perpendicular / Parallel Lines
100
What is the general form of slope-intercept form?
y = mx + b
100
What is the general form of point-slope form?
y - y1 = m(x - x1)
100
What is the general form of standard form?
Ax + By = C
100

Slope is often used to describe a real-life _________.

rate of change

100

What is the relationship between the slope of perpendicular lines?

What is the relationship between the slope of parallel lines?

Perpendicular slopes are opposite reciprocals.

Parallel slopes are the same. 

200
Write the equation of a line in slope-intercept form: m = -1/2, b = -8
y = -1/2x - 8
200
Write the equation of a line in point-slope form: m = 1/4, passes through (8, -2)
y + 2 = 1/4(x - 8)
200
Write the equation of the line in standard form: y = -1/3x + 3
x + 3y = 9
200

You have total of 30 dollars to spend for a party. Each pizza is 8 dollars and each bottle of soda is 2 dollars. Write an equation in standard form to model the number of pizzas and sodas you can buy.

8p + 2s = 30

200

What is slope of the line perpendicular to: y = 4x - 10

m = -1/4

300
Write the equation of the line in slope-intercept form: m = 4, passes through (0, 12)
y = 4x + 12
300
Write the equation of a line in point-slope form: m = 7, passes through (-2, 5)
y - 5 = 7(x + 2)
300
Write the equation of the line in standard form: y - 10 = 2(x + 4)
-2x + y = 18
300

A park charges a $6 entrance fee and $0.75 cents for each ride. Write an equation that models the total amount spent depending on the number of rides.

C = 0.75r + 6

300

What is the slope of the line parallel to: y + 2/5x =  2

m = -2/5

400
Write the equation of a line in slope-intercept form: y - 6 = -3(x + 1)
y = -3x + 3
400
Write an equation for the line in point-slope form: Passes through (4, -2) and (7, 2)
y + 2 = 4/3(x - 4) or y - 2 = 4/3(x - 7)
400
Write the equation of the line in standard form: m = 4, passes through (2, 6)
-4x + y = -2
400

You and your friends are hiking over the weekend. After 2 hours, you had gone 5 miles. After 3.5 hours, you had gone 8.75 miles. Write an equation that represents your total distance depending on how long you have hiked.

D = 2.5t

400

Write the equation of the line perpendicular to y = 4 and passes through (-5, 4).

x = -5

500
Write the equation of a line in slope-intercept form: Passing through (9, -1) and (2, 13)
y = -2x + 17
500
Write an equation of the line in point-slope form: Passes through (5, 0) and (6, -3)
y - 0 = -3(x - 5) or y + 3 = -3(x - 6)
500
Write the equation of the line in standard form: Passes through (10, -3) and (8, 3)
3x + y = 27
500

In 2015, Aria started a new job and earned $67,000 per year. Each year since, she was given an additional  $3,400 raise. Write an equation that represents how much her salary, y, is after x years. 

If this trend continues, how much would Aria earn in 2025? 

y = 3400x+ 67000

y = 101,000 after 10 years

500

Write the equation of the line perpendicular to y = 1/3x - 6 and passes through (4, -3).

y + 3 = -3(x - 4) or y = -3x + 9