2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers Page 2
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2.3: Determining the Equation of a Line
Memorize characteristics of 3 types of equations of lines:
– Point-Slope Form: (y
y
) = m(x
x
)
1
1
m is the slope
x and y are the most general x and y
(x
, y
) is any specific point on the line
1
1
– Slope-Intercept Form: y = mx + b
m is the slope
x and y are the most general x and y
b is the y-intercept
– Standard Form: Ax + By = C
A, B, and C are all integers, A
0
x and y are the most general x and y
Memorize Property 2.1
– Two lines with slopes m
and m
are:
1
2
parallel if m
= m
1
2
perpendicular if m
m
=
1
1
2
5. Find the equation of the line determined by the points (3, 3) and (5, 7). Put your answer in slope-
intercept form.
Solution: y =
5x + 18
6. Find the equation of the line which has y intercept
2 and slope 3/4. Put your answer in standard
form.
Solution: 3x
4y = 8
7. Find the equation of the line parallel to 4x
5y = 15 that goes through the point (6, 13). Put your
answer in point-slope form.
4
Solution: (y
13) =
(x
6)
5
5
8. Find the equation of the line perpendicular to y =
x
1 through the point (2, 1). Put your answer
8
in standard form.
Solution: 8x
5y = 11
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