Math II - Linear Equations Review

General Linear Equations & Slope

100

What is the formula for slope?

m = (y₂ - y₁)/(x₂ - x₁)

200

Give the general equation for Slope-Intercept form.

y = mx + b

300

Give the general equation for Point-Slope form.

(y - y₁) = m(x - x₁)

400

Give the general equation for Standard Form.

Ax + By = C

500

Calculate the slope for the points (3, 2) and (9, 5).

1/2

Slope-Intercept

100

Write the equation of the line with the given slope and y-intercept in slope-intercept form:

m = 2

y-intercept = -3

y = 2x - 3

200

Convert the following equation from standard form to slope-intercept form:

6x + 2y = 10

y = -3x + 5

300

Convert the following equation from standard form to slope-intercept form:

-2x + 3y = -6

y = (2/3)x - 2

400

Graph the following line:

y = 2x + 3

SEE DESMOS ANSWER

500

Graph the following line:

2x - 4y = 20

SEE DESMOS ANSWER

x- and y-intercept /Vertical & Horizontal lines

100

Find the x- and y- intercept:

y = -x + 5

x-intercept: (5, 0)

y-intercept: (0, 5)

200

Find the x- and y- intercept:

y = -2x + 6

x-intercept: (3, 0)

y-intercept: (0, 6)

300

Find the x- and y- intercept:

3x - 2y = 12

x-intercept: (4, 0)

y-intercept: (0, -6)

400

What is the slope of the line y = 4?

0

500

What is the slope of the line x = -2?

Undefined

Point-Slope

100

Given the point and slope, write the equation of the line.  Give your answer in slope-intercept form.

(4, 2); slope = 3

y = 3x - 10

200

Given the point and slope, write the equation of the line.  Give your answer in slope-intercept form.

(-2, -11); slope = 4

y = 4x - 3

300

Write the linear equation that passes through the given two points.  Give your answer in slope-intercept form.

(-3, 7) and (1, -1)

y = -2x + 1

400

Write the linear equation that passes through the given two points.  Give your answer in slope-intercept form.

(-8, 1) and (0, -5)

y = -(3/4)x - 5

500

Write the linear equation that passes through the given two points.  Give your answer in slope-intercept form.

(-12, 14) and (6, -1)

y = -(5/6)x + 4

Parallel & Perpendicular lines

100

Determine if segments AB and CD are parallel, perpendicular, or neither.

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Perpendicular

200

Determine if the given equations are parallel, perpendicular, or neither.

3x + 2y = 6 and y = -(3/2)x + 5

Parallel

300

Determine if the given equations are parallel, perpendicular, or neither.

8x - 2y = 4 and x + 4y = -12

Perpendicular

400

Write an equation passing through the point and parallel to the given line.

(4, 7); y = 3x + 6

y = 3x - 5

500

Write an equation passing through the point and perpendicular to the given line.

(2, -5); x - 4y = 20

y = -4x + 3