What letter represents the slope in the slope-intercept form: y=mx+b
m
Which letter represents the y-intercept in the slope-intercept form: y=mx+b
the +b
y=4x+7
slope:4
y-intercept:7
Use the back of your whiteboard to graph the linear function:
y=1/2x+3
slope is 1/2, y-intercept is 3
A car cost $400 up front and then $200 a month. Which value would represent the rate of change (slope)?
$200
What is the slope of the linear function?
y=-9/4x+10
-9/4
What is the y-intercept of the following linear function?
y=4x+8
8
Write the equation of a line in slope-intercept form (y=mx+b) if the slope is -1/2 and the y-intercept is 2
y=-1/2x+2
Use the back of your whiteboard to graph the linear function:
y=3/4x-1
slope 3/4
y-intercept of -1
Sam rents a boat for a flat fee of $450 and then $25 per gallon of gas used. What represents the y-intercept in this situation?
$450
What is the slope of the linear function?
-1/4
What is the y-intercept of the linear function?
-2
Write the equation of the linear function in y=mx+b form.
y=3/2x-2
Use the back of your whiteboard to graph the linear function:
y=-1/5x+5
slope -1/5
y-intercept +5
Write an equation to match this situation:
Thomas opens a Cat-Cafe that charges $2.50 per hour to pet cats and a $15 entry fee.
y=2.50x+15
What is the slope of the linear function? *extra points if it is fully simplified*
3/2 or 6/4
What is the y-intercept of the linear function?
1
Write the equation of the linear function in y=mx+b form.
y=-3/5x+1
Use the back of your whiteboard to graph the linear function:
y=6x
slope of 6/1 and y-intercept of 0
Ashley runs a 1 mile warm up. She then runs at a pace of 5 miles per hour.
How far would she run after 3.5 hours?
y=5x+1
y=5(3.5)+1
y=17.5+1
y=18.5 miles
What is the slope of the linear function?
-3/+5 = -3/5
The original linear function is y=1/2x+5.
If a new linear function is drawn as y=1/2x-2 , explain what happened to the linear function and include how much it changed.
The y-intercept changed from +5 to -2 so the linear function moved down 7 units.
Write the equation of the line in slope-intercept form.
y=2
(there is 0 slope!)
Use the back of your whiteboard to graph the linear function from the table:
graph the points
OR
slope of 4/1 and y-intercept of 1
A company charges $20 to deliver a package and $5 for each pound the package weighs.
If you only have $50 to ship a package, how many pounds can the package weigh?
y=5x+20
50=5x+20
30=5x
x=6 pounds