Unit 3 Math Facts
Graphs of Linear Equations
Identifying Linear Equations
Word Problems
100
Slope is the ratio of ____ over ____.
rise / run
100
Reading a graph from left to right. If a line has a negative slope, which direction is it going?
Downwards
100
What is the slope of the line represented by the equation 2y = -4x - 6?
slope = -2
100
An amusement park charges $30 to enter and $2 per carnival game. Write a linear function to model the relationship between total cost and number of carnival games played.
y = 2x + 30
200
Slope intercept form is expressed as the equation y = ______________.
mx + b
200
When graphing a linear equation, any two points on the same line will have the same ______.
slope
200
What is the y - intercept of the line represented by the equation 4y = -4x - 8?
y - intercept = -2
200
Joey pays a $25 flat fee each month to use his cell phone. He also pays $0.05 per text message. What is the equation to represent the amount, C dollars, he pays in a given month based on the number of T messages he sends?
C = 0.05T + 25
300
The y - intercept is the point where a line crosses the __________.
y - axis
300
Does this line have a positive or negative slope?
Negative
300
What would the equation of a line be that is parallel to y = 2x + 3, but has a y-intercept of 5?
y = 2x + 5
300
Zeke bought a plant that was 2cm tall. It grew at a constant rate of 3cm per week. Write an equation to represent the relationship of total height and growth per week.
y = 3x + 2
400
The rate of change can also be considered the _______ of a line.
slope
400
What is the slope of a line that goes through the points (3, 5) and (1, 1)?
slope = 2
400
Compare the slope and y-intercept of the following two linear equations:
A: y = 3x + 5
B: y = 4x + 2
Equation A has a larger intercept, and Equation B has a larger slope.
400
An arcade charges $25 for admission and $0.50 per game you play. The total cost of going to the arcade park is a linear function of the number of games you play.
y = .50x + 25