Show:
Slope-Intercept Form
Point-Slope Form
Standard Form
Word Problems
Perpendicular 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?
They are opposite reciprocals. Their product is -1.
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 30 dollars to spend on snacks for a party. Each pizza is 8 dollars and each bottle of soda is 2 dollars. Write an equation 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 dollar entrance fee and 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 perpendicular to: y = -2/5x + 2
m = 5/2
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
From 2000-2010, the number of students in Conrad Weiser increased by about 150 a year. In 2004, there were about 26,000 students in Conrad Weiser. Write an equation that models the number of students in Conrad Weiser depending on the year. (Hint: use t = 0 for 2000)
s - 26,000 = 150(t - 4) or s = 150t + 25,400
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