Module 5 Study Guide

Point-Slope Form

100

Find the equation of the line in point slope form that passes through the point (1, 2) and has a slope of 3

y - 2 = 3(x - 1)

200

Find the equation of the line in point slope form that passes through the point (-2,1) and has a slope of 1

y - 1 = 1(x + 2)

300

Find the equation of the line in point slope form that passes through the point (2, 7) and a slope of -4

y - 7 = -4(x - 2)

400

Find the equation of the line in point slope form that passes through the point (1, 3) and a slope of 5.

y - 3 = 5(x - 1)

500

Find the equation of the line in point slope form that passes through the points (3, 1) and (2, -2)

y - 1 = 3(x - 3)

or 

y + 2 = 3(x - 2)

Slope Intercept Form

100

Write the equation 2x + y = 10 in slope intercept form 

y = -2x + 10

200

Identify the slope and y-intercept of the following equation.

y = 2x + 3

m = 2, b = 3

300

Write the equation 5x + 5y = 10 in slope intercept form

y = -x + 2

400

Identify the slope and y-intercept of the equation -3x + y = -4

m = 3, b = -4

500

Find the equation in slope intercept form of the line that passes through the point (0, -1) and has a slope of 1/4

y = (1/4)x - 1

Slope

100

 Find the slope of the line through the pair of points (6, 2) and (2, 2).

0

200

Find the slope through each pair of points (6, 4) and (3, 1)

1

300

Find the slope through the pair of points (6, -12) and (15, -3).

1

400

Find the slope of the line through the points (3, -7) and (3, 5).

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500

Find the slope through the points (12, 2) and (-7, 5).

-3/19

Parallel & Perpendicular

100

Determine whether the graphs of each pair of equations are parallel, perpendicular or neither.

y = 3x + 4 and y = 3x + 7

parallel

200

Determine whether the graphs of each pair of equations are parallel, perpendicular or neither.

y = -1/3x + 2 and y = 3x -5

perpendicular

300

Determine whether the graphs of each pair of equations are parallel, perpendicular or neither.

y = 4 and x = 4

perpendicular

400

Find the equation of the line that is parallel to the equation y = 2x + 1 and passes through the point (-1, -5).

y + 5 = 2(x + 1)

y = 2x - 3

500

Find the equation of the line that is perpendicular to the line y = -1/2x + 3 and passes through the point (1,-1)

y = 2x-3

Inverse Functions

100

Determine the inverse of the set A = {(-8, 3), (0, 14)}

The inverse of A = {(3, -8), (14, 0)}

200

Determine the inverse of the set A = {(-11, 9), (0.3, -2), (-3, -8)}

The inverse of set A = {(9, -11), (-2, 0.3), (-8, -3)}

300

Determine the inverse of the set A = {(5,5), (0, 5), (0, 0)}

The inverse of the set A = {(5, 5), (5, 0), (0, 0)}

400

Find the inverse of f(x) = 5x + 10

The inverse of f(x) is (x - 10) / 5

500

Determine the inverse of f(x) = (1/4)x - 1

The inverse of f(x) is 4x + 4