Section 3.1-3.4

Question 0

Standard Form:

Answer 0

Ax + By = C

Question 1

To determine a linear equation:

Answer 1

1) You can’t have variables in the denominator
2) You can’t have more than 2 different variables
3) You can’t have the product of variables
4) You can’t have variables with exponents greater than 1
5) You can’t have negative exponents for variables

Question 2

Method 1: (x-y table)

Answer 2

if y is already isolated

Question 3

Method 2: (intercepts)

Answer 3

equation is in standard form (x and y on same side)

Question 4

y = a#

Answer 4

HORIZONTAL line

Question 5

x = a#

Answer 5

VERTICAL line

Question 6

linear function

Answer 6

a function for which the graph is a line

Question 7

solutions of an equation:

Answer 7

ordered pairs that make a true statement when plugged into the original equation

Question 8

zeros of a function:

Answer 8

values of x for which f(x) = 0

x-intercepts, solutions, roots, or zeros

Question 9

rate of change:

Answer 9

a ratio that describes on average how much one quantity changed with respect to a change in another quantity

Question 10

if the rate of change is CONSTANT:

Answer 10

the function is LINEAR

Question 11

slope:

Answer 11

represents the steepness of a line and is the same rate of change
rise/run = change in y/change in x = y1-y2/x1-x2 = y2-y1/x2-x1

Question 12

0

Answer 12

undefined (vertical)

Question 13

x

Answer 13

zero slope (horizontal)

Question 14

to find value of R:

Answer 14

cross products (proportion)

Question 15

direct variation:

Answer 15

y = kx, where k is the constant of variation

Question 16

WRITE EQUATION

Y = found value (x)

Answer 16

for direct variation