Formulas/Forms
Slope-Intercept Graphing
Point-Slope Form; Slope formula
Parallel and Perpendicular
Arithmetic Sequences
100

1. What is slope-intercept form?

y = mx + b

100

Do you start by graphing the slope or the y-intercept?

Y-intercept

100

2. What is point slope form?

y - y1 = m(x-x1)

OR (a simpler version)

y - __ = __ (x - __)

100

11. The slopes of parallel lines are ________.

equal

100

18. Find the common difference and the next 3 terms of the sequence:

14, 9, 4, ...

Common difference: -5.

Next 3 terms: -1, -6, -11

200

In slope-intercept form, what does "m" represent?

Slope

200

After you graph the y-intercept, how do you graph more points?

Use the slope

200

3. What is the slope formula?

       y2 - y1
m = --------

       x2 - x1

200

11. If a line has a slope of 3/4, a line parallel to it will also have a slope of ____.

3/4

200

True or false:

If you graph an arithmetic sequence, it forms a line.

True.

300

In slope-intercept form, what does "b" represent?

y-intercept

300

5b. y = -2x + 6. 

What is the y-intercept?

6. 

The ordered pair is (0, 6).

300

7. A line passes through (3, -20), m = 4.

Write an equation in point-slope form for this line.

y + 20 = 4(x - 3)

300

12. The slopes of perpendicular lines are ______ _________.

Opposite reciprocals.

300

True or false

If you graph an arithmetic sequence, the common difference and the slope of the line are equal. 

True.

400

2. What is point-slope form?

y - y1 = m(x-x1)

OR (a simpler version)

y - __ = __ (x - __)

400

5b. y = -2x + 6. 

What is the slope AS A FRACTION?

Hint: What number can you divide by without changing the original value?

-2/1

400

8a. A line passes through (6, -3) and (4, 3)

Find the slope.

-3

400

12. A line has a slope of 3/4.

A line perpendicular to it will have a slope of _____.

-4/3

400

20.

What is the common difference for the graph?

(up 4, right 1 --> 4/1 = 4). 

500

3. What is the formula to calculate slope?

       y2 - y1
m = --------

       x2 - x1

500

5b. y = -2x + 6.

The y-intercept is at (0,6).

How would you graph a second point?

Down 2, right 1

500

9. Given the points (2, 4) and (2, -3), find the slope

Is this a vertical or horizontal line?

Vertical (undefined slope). 

500

13.Determine which of the lines are parallel. Why?

a ll c because they both have a slope of -1/5. 

500

21. What is the common difference for the graph?

-3

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