Name: _______________________________________________________________________________
Date of Exam: Thursday, May 31, 2018
EXAM 7 – SLOPE-INTERCEPT FORM (STUDY GUIDE)
Section A: Vocabulary
Directions: Fill in the blank with the appropriate vocabulary word.
1) A ___________________________ is a function whose graph is represented by a straight line.
2) Linear functions have a constant ___________________________, that is, the change in value
between two data points.
3) The rate of change is also called the ___________________________, which refers to the steepness
of the line.
4) The ___________________________ is the point in which a function intersects with the y-axis, or
where x = 0.
5) The ___________________________ is the point in which a function intersects with the x-axis, or
where y = 0.
Section B: Calculating the Slope Between Two Points Using the Slope Formula
Use the slope formula to find the slope of the line passing through the given points. Show your work.
6) (1, 5) & (2, 9)
7) (2, 4) & (1, 1)
Study Guide – Exam 7
8) (0, 4) & (-2, 8)
9) (8, -8) & (6, 4)
10) (3, -2) & (-7, -2)
11) (7, -6) & (2, -3)
12) (-3, -2) & (-1, -7)
13) (2, -6) & (5, -1)
14) (1, 0) & (0, 1)
15) (0, -2) & (6, 4)
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Study Guide – Exam 7
Section C – Graphing Functions in Slope Intercept Form
For each function find the slope, m, and y-intercept, b. Then graph each function. Label the coordinates
(x,y) of two points on your line.
7
(16) 𝑦 = 2 𝑥 − 3 m=________b=________
(17) 𝑦 =
−1
𝑥
5
y
−2
m=________b=________
y
x
(18) 𝑦 = −6𝑥 + 4 m=_______b=_______
(19) 𝑦 =
y
−5
𝑥
2
+ 3 m=_______b=_______
y
x
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x
x
Study Guide – Exam 7
5
2
(20) 𝑦 = 𝑥 − 5 m=________b=________
(21) 𝑦 =
−2
𝑥
3
+2
y
m=________b=________
y
x
(22) 𝑦 = −4𝑥 + 6 m=_______b=_______
(23) 𝑦 =
y
−3
𝑥
2
+4
m=_______b=_______
y
x
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x
x
Study Guide – Exam 7
Section D – Writing the Equation of the Line in Slope-Intercept Form
For each graph, find the slope, m, and y-intercept, b, and then write the equation of the line in slopeintercept ( y  mx  b ) form.
(24)
(25)
Slope (m):_____ y-intercept (b) ________
Slope (m):_____ y-intercept (b) ______
Equation: _______________________
Equation:_______________________
(26)
(27)
Slope (m):_____ y-intercept (b) ________
Slope (m):_____ y-intercept (b) ______
Equation: _______________________
Equation:_______________________
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