Algebra 1A Unit 2

Vocabulary

100

The point where the line touches the y-axis

y-intercept

200

The point where the line touches the x-axis

x-intercept

300

The measure of the steepness of a line. It describes a rate of change.

Slope

400

y = mx + b, with slope m and y-intercept b, is called...?

slope-intercept form

500

Ax + By = C, with constants A, B, & C

Standard Form

Functions

100

List the domain values for:

(8,7) (4, 3) (-2, -3) (0, 9)

8, 4, -2, 0

200

List the range values for:

(8,7) (4, 3) (-2, -3) (0, 9)

7, 3, -3, 9

300

Is the following relation a function? Why or why not?(3,5) (4,8) (5,15) (-3,12)

Yes because all of the domain (x) values are different

400

Is the following relation a function? Why or why not?

(4,4) (3,8) (4,4) (-3,-8)

Yes because the domain (x) is repeated with the same range (y).

500

Is the following relation a function? Why or why not?

(2,4) (3,2) (2, 4) (2, 9)

No it is not because the domain value of 2 is repeated with 4 and 9.

Linear Equations

100

Graph the following linear equation:

y = 3x - 8

Begin at -8 and move up 3 over 1.

200

Graph the following linear equation: 

y = 1/4x - 5 

Begin at -5 and move up 1 over 4.

300

Solve then graph:

x + y = 7

y = -x + 6

Begin at 6 and go down one over one to the right.

400

DAILY DOUBLE!

Solve and graph:

4x - 2y = 8

y = 2x - 4

Start at -4 and move up 2 over 1

500

Find the slope, x-intercept, and y-intercept of the line y= 2x + 8.

slope = 2

x-intercept = -4

y-intercept = 8

Writing Equations

100

Write an equations in slope-intercept form of the line with slope, m= 4/5 which crosses the y-axis at (0,6)

y= 4/5x + 6

200

Write the equation in slope-intercept form: through (2,5) with a slope of 3.

y= 3x -1

300

Write an equation in slope intercept form for a line that crosses through (-1, 2) and (4, -8).

y = -2x + 0

400

Write the equation 3x + 4y = 8 in slope-intercept form.

y = -3/4x + 2

500

Write an equation in slope-intercept form for the table of values:

    x      y

7         12

8         15

9          18

10         21

y = 3x - 9

Parallel & Perpendicular

100

Which slope is parallel to y = 2x + 4?

2

200

Which slope is perpendicular to y = 3x + 4

-1/3

300

Write the equation for a line PARALLEL to y= 2x - 7 and through (2, 8)

y= 2x + 4

400

Write an equation in slope-intercept form for a line that is PERPENDICULAR to y= -1/5x - 3 and through (-1,2)

y = 5x + 7

500

Are the lines represented by these equations parallel or perpendicular? 

2x - 3y = 12

y = 2/3x + 5

They are parallel since they have the same slope.