Graphing Linear Equations (Basics)

Definitions

100

What is the name for the point (0,0)?

The origin

200

What is another name for a point (x,y)?

An ordered pair

300

What do the x-axis and y-axis form when placed together?

The standard (x,y) coordinate plane. "Coordinate plane" is acceptable.

400

What are the 4 sections of the coordinate plane called?

Quadrants

500

What is the x-intercept of a line?

It's the point on the line where it crosses the x-axis.

Location

100

In which Quadrant is the point (3,-4)?

Quadrant 4 or Quadrant IV

200

Start at the origin, move left 6 units and up 3 units.  What quadrant are you in?

Quadrant 2 or Quadrant II

300

To locate the point (-8,-3), from the origin, you would go ________ 3 units and __________ 8 units.

Down 3 and left 8.  (That is, left 8 and down 3)

400

The point (6,0) is on which axis?

The x-axis.

500

The point (0,-7) is located on the ________ and is called the __________?

y-axis, y-intercept

Solutions

100

Which ordered pair is a solution to the linear equation y=2x-5?

a) (2,1)    b) (-3, -10)    c) (1,-3)

c) (1,-3)

200

For the linear equation y = -3x + 2,what is the value of y when x = 3?

y = -7   The point is at (3,-7)

300

Find one solution to the linear equation y = -x-8

Ex: (0,-8), (1,-9), (2,-10) or (-1,-7) etc

400

True or False:  (-9,-8) is a solution to y=-7x-55?

False, but (-9,8) is a solution

500

Fill in the blank: A line has an _________number of solutions.

Infinite

Slope

100

Fill in the blank:  Slope is a measure of the __________ of a line.

Steepness

200

What is the slope of the line y=-6x-7?

The slope is -6

300

Fill in the blanks: You can find the slope of a line on a graph by the formula: slope = _____/______

Rise/Run

400

If the slope of a line is -5/8, what is the run?

8 (slope = Rise/Run)

500

Which line is steeper, one with a slope of 3/4 or one with a slope of 2?

The line with a slope of 2 is steeper

More Slope

100

Fill in the blank:  A line with a negative slope _____as you go from left to right.

decreases

200

What is the Slope Formula and when can you use it?

m = (y₂ - y₁)/(x₂ - x₁₎
Use it when you know 2 points on a line

300

What kind of line has a slope of 0?

A horizontal line

400

Name the slope and the y-intercept of the linear equation -5x = -3y + 6.

The slope = 5/3 and the y-intercept is 2

500

Find the slope between (-8,4) and (3,-9)?

The slope is -13/11     (-9-4)/(3-(-8)