Slope
What does the slope tell us?
The rate of change (how much y changes for every 1 change in x)
What does our y-intercept tell us?
Our starting point or our initial value when x=0.
A linear graph is
A. Curved
B. Straight
Straight.
Write an equation with
slope=3
y-intercept=2
Y=3x+2
Find the unit rate.
12 cookies in 3 bags.
4 cookies per bag.
Find the slope.
Y=6x+4
6.
Find the y-intercept.
y=5x+8
8
Is y=3x+2 linear or non-linear?
linear.
Write an equation for the word problem.
Starts at 10 and increases by 5.
Y=5x+10
Find the unit rate.
40 miles in 2 hours.
20 mph.
A line goes up 3 and right 1. What is the slope?
3.
The equation is y=-2+10
What is the y-intercept?
10.
Is y=x2 linear or nonlinear.
Nonlinear.
What does the m represent in y=mx+b?
Slope (rate of change)
All proportional relationships pass through (0,0). True or false?
True.
A line goes down 2 and right 1. What is the slope?
-2.
A gym charges a $25 sign-up fee plus $15 each month. What is the y-intercept?
$25.
How can you tell a relationship is linear?
It has a constant rate of change.
What does the b represent in y=mx+b?
Y-intercept (starting value).
Is y=4x proportional?
Yes.
Find the slope.
Points: (2,4) (4,8)
2.
A line crosses the y-axis at (0,-6). What is the y-intercept?
-6.
A table increases by +5 every time x increases by 1. Linear or nonlinear?
Linear.
A babysitter charges $20 to show up and $12 per hour.
Write an equation.
Y=12x+20.
Which equation is proportional?
a. Y=5x
b.y=5x+3
c.y=x-2
d.y=2x+8
A. Y=5x.