1. SLOPE

2. Slope from an equation
Equation of a Line in slope-intercept form: y = mx + b where m is the slope and b is the y- intercept.
Look for the coefficient of x. THAT IS THE SLOPE.
Be sure to include negatives as needed.
If there is no coefficient, slope is either 1 or -1.
If the equation is y = a number with no x, the slope is 0.
If the equation is x = and there is no y, the slope is undefined.

3. Slope from Ordered Pairs or Two Points
Label the points ( 𝑥 1 , 𝑦 1 )( 𝑥 2 , 𝑦 2 )
Write the formula for slope 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1
Plug in the numbers into the correct places in the formula.
Solve using your integer rules.
SIMPLIFY as needed.
Pay attention to positive or negative when looking at your fraction.

4. Slope from a table (TWO WAYS)
First Way
Look at the y side and find how it changes each time.
Change in y
Look at the x side and find how it changes each time.
Change in x
Slope is 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 or Δ𝑦 Δ𝑥 because triangle means change.
SECOND WAY
Choose two points and use the formula for slope.
𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1

5. Slope from Graphs (TWO WAYS)
FIRST WAY
Find any two points on the graph.
Points are where the graph crosses through the corner of a box on the coordinate grid.
Draw a right triangle connecting the two points using the lines on the coordinate grid.
Count the boxes outside the lines you drew.
Slope is 𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑐ℎ𝑎𝑛𝑔𝑒 ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑐ℎ𝑎𝑛𝑔𝑒 or 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛
Pay attention to if your line is rising (positive) or falling (negative)

6. Slope from Graphs (TWO WAYS)
SECOND WAY
Choose two points and use the formula for slope.
𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1