What phrase do we use to remember slope?
straight lines
Graph y = 2x. Label both x- and y-intercepts.
Card #1.
What is the name of the point where a line crosses an axis?
Intercept
What is slope?
rate of change
What is the name of the formula: y = mx + b
slope-intercept form
Graph y = 2x + 1. Label the x- and y-intercepts.
Card #2
What is a visual representation that shows the relationship between two or more sets of numbers, measurements, or variables?
Graph
What do you need to calculate slope?
two points on a line
What does b stand for in the formula: y = mx + b
y-intercept
Graph y = (1/2)x - 3. Label both x- and y-intercepts.
Card #3
What word would you use to describe something that could be represented by a straight line?
Linear
Card #1
Write an equation describing a line that goes through the point (0, 5) and has a slope of -2.
y = -2x + 5
Draw a graph with a slope of 0.
Card #4
What word can be defined as a mathematical sentence?
Equation
Card #1
m = 3/2
Describe a real-life example of something linear.
Examples:
- If you have already completed 10 assignments and you finish one more each day. (y = 10x + 1)
- My dog knows 43 words and learns 2 new words every 3 months. (y = (2/3)x + 43)
- Someone has $23,000 in student loans when they graduate and pay off $2200 per year, ignoring interest. (y = -2200x + 23000)
Draw a graph with an undefined slope.
Card #5
What is a description of a real-world system using mathematical concepts and language?
Model