Graphing Review Part 1

Graphing Review
Part One

Overview

1. Ordered pairs

2. Slope

3. x- and y-intercepts

4. Equations in slope-intercept form

Ordered Pairs

Graphing

An ordered pair refers to a point (x,y) on the coordinate plane.

Plot the point (2,1).

Start at the origin, then move 2 units to the right (in the x-direction) and 1 unit up (in the y-direction).

Graphing

Plot the point (1,2).

Start at the origin, then move 1 unit to the right (in the x-direction) and 2 units up (in the y-direction).

Graphing

Plot the point (4,6).

Graphing

Plot the point (8,2).

Graphing

Plot the point (-4,3).

Start at the origin, then move 4 units to the left (in the x-direction) and 3 units up (in the y-direction).

Graphing

Plot the point (-2,6).

Graphing

Plot the point (-1,5).

Graphing

Plot the point (-6,-4).

Start at the origin, then move 6 units to the left (in the x-direction) and 4 units down (in the y-direction).

Graphing

Plot the point (-10,-3).

Graphing

Plot the point (-6,-4).

Graphing

Plot the point (6,-4).

Start at the origin, then move 6 units to the right (in the x-direction) and 4 units down (in the y-direction).

Slope

Slope refers to the steepness of a line.

If you imagine walking along a line from left to right, a positive slope means you're walking uphill. A negative slope means you're walking downhill.

Multiple Choice

Describe the slope of the line.

• positive (uphill)

• negative (downhill)

• zero (horizontal)

• infinite (vertical)

Multiple Choice

Describe the slope of the line.

• positive (uphill)

• negative (downhill)

• zero (flat)

• infinite (vertical)

Multiple Choice

Describe the slope of the line.

• positive (uphill)

• negative (downhill)

• zero (horizontal)

• infinite (vertical)

Multiple Choice

Describe the slope of the line.

• positive (uphill)

• negative (downhill)

• zero (horizontal)

• infinite (vertical)

Computing the Slope

Multiple Choice

What is the slope of the line?

• $$\frac{1}{2}$$

• 1

• 2

• 3

Multiple Choice

What is the slope of the line?

• $$-\frac{3}{2}$$

• $$-\frac{2}{3}$$

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

x- and y-intercepts

The x-intercept is the point on a line that crosses the x-axis. Here, the x-intercept is (3,0).

The y-intercept is the point on a line that crosses the y-axis. Here, the y-intercept is (0,-3).

Multiple Choice

What is the x-intercept for this line?

• (0,2)

• (3,0)

Multiple Choice

What is the y-intercept for this line?

• (0,2)

• (3,0)

Multiple Choice

What is the x-intercept for this line?

• (-2,0)

• (0,2)

Multiple Choice

What is the y-intercept for this line?

• (-2,0)

• (0,2)

Equations in Slope-Intercept Form

Multiple Choice

Write the equation for the line with a slope of 3 and a y-intercept of -1.

• y=-x+3

• y=3x-1

• y=3x+1

• y=x+3

Multiple Choice

What is the equation for this line?

• $$y=-\frac{3}{2}x-1$$

• $$y=-\frac{2}{3}x-1$$

• $$y=\frac{2}{3}x-1$$

• $$y=\frac{3}{2}x-1$$

Graphing

Move the points to create a line for the equation $$y=\frac{2}{3}x-4$$ .

The End

​y=\frac{2}{3}x-1