Download 3.5 Writing Equations of Lines Answer Key

Answers Writing Equations of Lines
Name __________________________
Period ______
Determine the slope and the y-intercept of each equation.
1) m  
2  5
 0, 
3  3
2) m 
8  2
 0, 
3  3
m
3)
13
 0, 2 
11
Write an equation in slope intercept form with the given slope and y-intercept.
4) y  3x  1
5)
5
y   x 3
4
6) y  14
Write an equation of a line in slope intercept form given a point and the slope.(start with point-slope formula)
7) y  2 x  11
2
y   x7
3
8) y  6
9)
11) y   x  2
12)
Write an equation of the line graphed.
10)
y
2
x 1
3
3
3
y   x
4
2
Write an equation of a line in slope intercept form with the given points.
13)
5, 4  ,  6, 3
14)
 6,1 ,  8,2 
y  x  9
1
y   x2
2
15)
 4, 2  ,  8, 3
16)
5, 3 ,  6, 3
1
y   x 1
4
y3
Write an equation of the line that is parallel to the graph of each equation and that passes through the point. Write
equation in slope-intercept form.
17) y  6 x  9
18)
y
5
x4
2
2
14
y   x
3
3
20) y  4 x  15
19)
21)
1
y  x4
3
Write an equation of the line that is perpendicular to the graph of each equation and that passes through the point.
Write equation in slope-intercept form.
8
y  x4
3
1
23) y   x  1
3
22)
1
y  x2
3
1
7
25) y  x 
4
2
24)
26) y
4
Write an equation of a line that passes through he given point P and has the given slope m.
27)
y
1
x3
3
28)
5
34
y  x
3
3
Graph the following equations.
29)
30)
31)
32)
33)
34)