Calculate the Slope
Slope-Intercept Form
Type of Slope
System of Equations
Miscellaneous
100

(2, 1) and (3, 2)

m = 1
100

What does "m" represent?

Slope

100

What type of slope does a line have that is going down from left to right?

Negative slope 

100

y = 4

x = y + 3

(7, 4)

100

Solve for x: 12x + 14 = -22

x = -3

200

(2, 5) and (4, 6)

m = 1/2

200

What does "b" represent?

Y-intercept
200

What type of slope does a line have that is going up from left to right?

Positive slope

200

x = 6

y = 5x - 12

(6, 18)

200

A right triangle has a leg that is 24 feet and a hypotenuse that is 26 feet.  How long is the missing side length?

10 feet

300

(-3, 2) and (4, -1)

m = -3/7

300

What is slope-intercept form?

y = mx + b

300

What type of slope does a line have that is going straight across from left to right?

0

300

y = 3x - 2 

y = -2x + 8

(2, 4)

300

What is the definition of a "function"?

For every input, there is one output.  

400

(-2, -4) and (8, 2)

m = 3/5

400

Write in slope-intercept form:  2x + y = 8

y = -2x + 8

400

What type of slope does a line have that is going straight up and down?

Undefined

400

y = 2x + 9

y = - x + 6

(-1, 7)

400

Solve for x:  6x + 12 = 6x + 8

No solution

500

(2, 5) and (2, -3)

m = undefined
500

Write in slope-intercept form:  -4x + 3y = 12

y = 4/3x + 4

500

When graphing systems of equations, WHERE on the graph is the solution to the system of equations?

Where the lines intersect.

500

y = 2x - 4

14x - 4y = 10

(-1, -6)

500

You are biking at a speed of 18 miles per hour.  You are 3 miles behind your friend, who is biking at a speed of 12 miles per hour.  Find the amount of time it takes for you to catch up to your friend.  

1/2 hour or 30 minutes

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