Linear Relationships: Slope, Linear Equations, and Systems
Find the slope of the line through (2, 3) and (4, 7)
2
Is the relation a function?
{(1,2), (2,3), (3,4)}
Yes
Simplify: 2³
8
Is 1/2 rational or irrational?
Rational
What type of graph shows the relationship between two variables?
Scatter plot
Write the equation in slope-intercept form: Slope = 3, y-intercept = −2
y = 3x − 2
Is this linear or nonlinear?
y = 4x + 1
Linear
Simplify: 5² × 5³
5⁵ = 3125
Is √16 rational or irrational?
Rational (equals 4)
A scatter plot shows points going up from left to right.
What type of association is this?
Positive association
Solve:
2x + 5 = 15
x=5
Find f(4) if f(x) = x² − 3
13
Simplify: (3²)³
3⁶ = 729
Is √5 rational or irrational?
Irrational
What does a line of best fit represent?
The trend/relationship in the data
Solve the system:
x + y = 10
x − y = 2
x = 6, y = 4
Which is nonlinear?
A) y = 2x + 5
B) y = x²
B). y = x²
Rewrite in scientific notation:
450,000
4.5 × 10⁵
Find the hypotenuse of a right triangle with legs 3 and 4
5
If a line of best fit has a positive slope, what does it mean about the variables?
As one increases, the other increases
Find the equation of the line that passes through (1, 2) with slope 4
y=4x-2
A table shows:
x | y
1 | 2
2 | 4
3 | 6
4 | 8
Is this linear or nonlinear? What is the rule?
y = 2x
Simplify: 2⁻³
1/8
A right triangle has legs 6 and 8. Find the hypotenuse.
10
A line of best fit is y = 2x + 1.
Predict y when x = 5
11