Download Foundations of Math I: Unit 6 Test Review Guide Slope, Slope

Foundations of Math I: Unit 6 Test Review Guide
Slope, Slope Intercept Form
SLOPE:
Formula:
Points (x1, y1) and (x2, y2)
y 2  y1
x 2  x1
Concept:
Move in coordinate plane
RISE Up or Down

RUN Right or Left
Rate of Change:
Word Problems and Graphs
Change Quantity
Change Time
SPECIAL SLOPES
ZERO or NO Slope:
UNDEFINED Slope:
o RISE = STAY and RUN = Left or Right
o RISE = Up or Down and RUN = STAY
o ZERO in NUMERATOR
o ZERO in DENOMINATOR
o Horizontal Line
o Vertical Line
o Equation of Line: y = number
o Equation of Line: x = number
SLOPE INTERCEPT FORM: y = mx + b (m = slope and
b = y-intercept)
o Slope ALWAYS multiplies by x - variable
240
1) Find the SLOPE between
a. (3, 2) and (7, 9)
b. (-4, 8) and (1, 3)
2) Rate of Change:
Use the graph provided.
a. What was the average rate of
change between 8:00 and 10:00
am?
b. What is the rate of change
Distance Traveled in Miles
210
180
150
120
90
60
30
6:00
between 11:00 and 12:00?
c. What was the average rate of change for the entire trip?
8:00
10:00
12:00
Time of Day
2:00
3) Determine slope and y-intercept of each equation.
c. 2 y  5 x  6
6
4
a. y   2 x
b. y  x  8
5
3
d. y  3 x  7
Slope:
Slope:
Slope:
Slope:
y-intercept:
y-intercept:
y-intercept:
y-intercept:
4) GRAPH each equation.
2
4a. y   x  3
3
4c. y  2 
5
x
2
4b. y  4 x  2
4d.
1
x y
3
5) Write the equation of the line in SLOPE INTERCEPT FORM.
a. m = 3 and (4, 7)
1
b. (-2, 3) and slope =
4
5
c. m = and (-6, -8)
2
d. slope = - 2 and (2, - 9)
e. Through (0, 5) and (2, 9)
f. Through (-1, 4) and (3, -2)
g. Through (-2, 2) and (-4, 8)
h. Through (3, 5) and (6, 11)