Equations Of Lines Worksheet With Answer Key Page 5
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2
3
4
5
62.3 Homework Problems:
1. Find an equation for each line based on the conditions below. Write the equation in slope-intercept form
and also standard form.
3
(a) passing through (-3, 2); m = -4
(b) passing through (-4, 7);
m
=
−
2
1
2
(c) x -intercept (1, 0);
=
−
(d) passing through (-1, 1);
=
m
m
2
5
(e) passing through (-7, 5); m = 0
(f) passing through (8, -1); slope is undefined
2. Write an equation for the line that passes through the two points. Write the answer in slope-intercept
form.
(a) (-5, 6) and (6, -5)
(b) (4, 0) and (6, -8)
(c) (3, -4) and (11, -1)
2
2
(d)
and
(e) (2, 3.2) and (5, 5)
(f) (5, a ) and (-7, a )
−
4 ,
−
,
−
7
3
3
3. Find an equation for the line that has the following intercepts. Write the equation in standard form.
y
(a) (0, 2) and (4, 0)
l
7
1
6
5
15
4
(b)
( −
, 0
) 5
and
0 ,
l
3
2
2
2
1
x
4. Find the equations for the lines
−7 −6 −5 −4 −3 −2 −1
1
2
3
4
5
6
7
8
−1
– l
on the graph at the right.
−2
l
3
1
−3
−4
l
−5
3
−6
5. Find the slope and y- intercept for each of the
−7
lines below.
−8
(a)
3
7
21
(b)
8
2
5
(c)
2
6
( 2
)
(d)
x
+ y
=
y
+ x
=
x
+
=
y
+
x
Bx
=
Cy
+
A
6. Determine whether the lines are parallel, perpendicular, or neither.
(a)
3 +
2
and
6
2
5
(b)
4
8
10
and
4
2
21
y
= x
x
− y
=
x
+ y
=
x
− y
=
x
y
(c)
3
7
21
and
3
7
21
(d)
1
and
5
2
3
x
+ y
=
x
− y
=
+
=
x
− y
=
5
2
7. Use the given conditions to write an equation for each line in slope-intercept form.
(a) passing through (-8, -10) and parallel to the line whose equation is
3 −
4
y
+
=
x
1
(b) passing through (2, -3) and perpendicular to the line whose equation is
6
0
x
− y
+
=
5
Page 5 (Section 2.3)
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