Intermediate Chapter 3 Review

Standard Form/Slope Intercept Form

100

Write the Standard form of a linear equation

Ax + By = C

200

Write the Slope Intercept Form

y = mx + b

300

convert y = -2x + 7 into standard form

2x + y = 7

400

Identify the slope(m) and y-intercept (b) for the equation:  y = -3x

Slope: -3  and  Y-intercept:0

500

Rearrange into standard form:

3/2x = -3y - 8

3x + 6y = -16

Intercepts

100

The x-intercept is to the x-axis as the y-intercept is to the _________.

y-axis

200

To find the y-intercept, we substitute a ____ for the x variable.

0

300

Find the x-intercept:

3x + 4y = 30

(10, 0)

400

Find the y-intercept

x - 5y = 25

(0, -5)

500

Find the x-intercept:

y = 3x + 9

(-3, 0)

Slope

100

Definition of slope

rise/run, change in y/change in x

200

Write the equation we use to find the slope.

(y2 - y1)/(x2 - x1)

300

Find the slope between (3, 8) and (7, 14). Write in simplest form.

3/2

400

Find the slope of the following line and simplify:

(-4, 6) and (8, 6)

0

500

create 2 points that have an undefined slope

(x, any y) (same x, any y)

Direct Variation

100

How do you find the constant of variation (k)?

k = y/x

200

Equation of direct variation

y = kx

300

If y = 42 and x = 3, write a direct variation equation

y = 14x

400

If y = 18 and x = 2, find x if y = 54

x = 6

500

If y = 4 and x = 28, find y if x = 15

15/7 or 2.1

Miscellaneous

100

A line that goes down and to the right has a __________________ slope.

negative

200

What are the 4 different types of slope?

positive, negative, zero, and undefined

300

Given g(x) = x - 4 and g(x) = 11, find the value of x.

x = 15

400

Given f(x) = 5 - 3x, find f(6)

f(6) = -13

500

Find the x and y intercepts:

4x - 6y = 10

x-int: (5/2, 0) y-int: (0, -5/3)