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Slope

100

Definition of Slope

Rise divided by run

200

Slope Formula

y₂ - y₁ divided by x₂ - x₁

300

What is the slope of a vertical line?

It has no slope.  It is undefined.

400

Find the slope of the line that passes through (-4, 7) and (-2, -12)

-19/2

500

Find the slope of the line that is perpendicular to the line that passes through (-3, -5) and (1, -10

4/5

Slope-Intercept and Standard Form

100

Slope Intercept Form: 3x + y = 8

y = -3x + 8

200

Slope Intercept Form: 2x + 4y = 12

y = (-1/2)x + 3

300

Standard Form: y = (2/3)x + 1

2x - 3y = -3

400

Slope Intercept Form: 5x - 2y = 6

y = (5/2)x - 3

500

Standard Form: y = (-3/4)x + (1/3)

9x + 12y = 4

Equations of Lines

100

Find the Equation of the Line: slope (-3/5), point (0, -2)

y = (-3/5)x - 2

200

Find the Equation of the Line: slope: (5/6), point (12, 15)

y = (5/6)x + 5

300

Find the Equation of the Line: slope (1/2), point (-4, 5)

y = (1/2)x + 7

400

Find the equation of the line that passes through points (1, 5) and (2, 3). 

y = -2x + 7

500

Find the Equation of the Line that passes through point (2, 5) and (7, 11).

y = (6/5)x +(13/5)

Function Notation

100

Given: f(x) = 3x + 5

Find f(-2)

f(-2) = -1

200

Given g(y) = -4y - 3

Find g(-3)

g(-3) = 9

300

Given: h(m) = m² + 2m - 3

Find h(-1)

h(-1) = -4

400

Given w(z) = 3z² - 2z - 5

Find w(-3)

w(z) = 28

500

Given f(x) = x³ + 2x² - x + 1

Find f(-1)

f(-1) = 3

Parallel and Perpendicular

100

What is the slope of the line that is parallel to 

y = (-1/2)x + 5

(-1/2)

200

What is the slope of the line that is perpendicular to 

y = (3/4)x + 7

(-4/3)

300

What is the slope of the line that is parallel to 

2x + 3y = 8?

(-2/3)

400

What is the equation of the line that is parallel to 3x - 2y = 8 and has the same y-intercept as x + 2y = 4

y = (3/2)x + 2

500

What is the equation of the line that is perpendicular to 5x - 2y = 9 and has the same y-intercept as 2x + 4y = 16?

y = (-2/5)x + 4