Identify the slope and y-intercept of the line.

a. y = 4x - 5

b. y = -2x +3

c. y =\frac{3}{7}x - \frac{2}{3}

Describe each line using words: horizontal, vertical, rising to the right, or falling to the right.

a. y = -3x + 5

b. y = -2

c. y = \frac{2}{3}

d. x = 4.5

e. y = 4x - 1

f. y = \frac{3}{4}x + \frac{1}{3}

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

1. y = x
2. y = 7
3. x = 2

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

1. y = \frac{2}{3}x - 7
2. y = 2.5x - 3.7
3. y = \frac{9}{2}x + 4

Order each of the following sets of lines based on slope, from closest to horizontal to closest to vertical.

1. y = -\dfrac{1}{5}x + 8
2. y = -6x - \frac{5}{8}
3. y = -2x + 4

Suppose each equation set represents ski hill.

a) Which two equation could not possibly represent ski hills? Why?

b) Organize the hills to: Bunny Hills(least steep), Intermediate Hills(moderately steep), and Double Black Diamond Hills(steepest).

Set 1

1. y = x
2. y = 7
3. x = 2

Set 2

1. y = \frac{2}{3}x - 7
2. y = 2.5x - 3.7
3. y = \frac{9}{2}x + 4

Set 3

1. y = -\frac{1}{5}x + 8
2. y = -6x - \frac{5}{8}
3. y = -2x + 4

Sketch the graph using slope and y-intercept.

y = 2x - 4

Sketch the graph using slope and y-intercept.

y = -\frac{1}{4}x + 3

Sketch the graph using slope and y-intercept.

y = -\frac{7}{6}x

Rewrite the following in the form y = mx + b.

6x -3y - 15 =0

Rewrite the following in the form y = mx + b.

3x + 6y + 12 = 0

Rewrite the following in the form y = mx + b.

2x - 8y = 10

Rewrite the following in the form y = mx + b.

y - 10 = 0

Rewrite the following in the form y = mx + b.

4x + y - 9 = 0

Rewrite the following in the form y = mx + b.

2x -3y = -1

Movie tickets are \$8 each and concert tickets are \$12 each. Andrew spent a total of \$100 on movie and concert tickets.

a. Write an equation to represent the total cost for movie and concert tickets.

b. Rewrite the equation in the form y =mx + b

c. Determine which of the following is a possible combinations of movie and concert tickets that Andrew might have bought.

Determine the slope.

Determine the slope.

Determine the slope.

Determine the slope.

Determine the slope.

Determine the slope.

Calculate the slope of the line passing through the pair of points.

A(3, 8) and B(5, 7)

Calculate the slope of the line passing through the pair of points.

C(8, 9) and D(-2, -2)

Calculate the slope of the line passing through the pair of points.

E(-8, 4) and F(4, -8)

Calculate the slope of the line passing through the pair of points.

I(0, 0) and J(-3, -5)

Calculate the slope of the line passing through the pair of points.

M(0, 4) and N(-3, 4)

Calculate the slope of the line passing through the pair of points.

P(-2, -1) and Q(-2, -9)

Determine if the points are collinear.

A(-3, -2), B(-2, 1), and C(2,10)

Determine if the points are collinear.

D(7, -1),E(6, 5), and F(2, 1)

Determine if the points are collinear.

G(-7, -5), H(-2,10), and I(-9, -11)

Determine if the points are collinear.

J(8, 9), K(-6, 7), and L(24, 11)

Point A has coordinates A(3, k), and the slope B(7,-2) of AB is \frac{2}{5}. Determine the value of k for each point B.

B(7, -2)

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(13, 5)

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(-2, 2)

Point A has coordinates A(3, k), and the slope -2 of AB is \frac{2}{5}. Determine the value of k for each point B.

B(9, 10)

A catering company charges $550 for 20 guests and $775 for 35 guests. What is the cost per person?

At the end of July, the Robillard family headed home after a vacation. The Robillards were 750 km from home when they started out, but 4 h later they were only 394 km from home. They didn’t stop and they maintained a constant speed. How fast were they driving?