# word problems, parallel lines, and perpendicular

```Writing Equation of a Line
Formative Assessment Tool
Name: _____________________________
Date: _____________ Class: _________
Part 1: Writing equation given slope & y-intercept (STATIONS 1 & 2)
Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!!
1.) Kim is saving money to buy an I Phone. She makes \$8 per hour babysitting. She has saved \$25 so
far. Write the equation to solve for her total earnings in terms of how many hours she works.
Rate of change (slope): _______________ equation: ____________________
2.) m = -1; b = (0, -6)
equation: _________________
3.) m = 2/3; b = (0, 4)
equation: _________________
4.) m = 0; b = (0, -5)
equation: _________________
5.) m = 4; b = (0, 15)
equation: _________________
6.) m = -1/6; b = (0, 6)
equation: _________________
Part 2: Writing equation given point & slope (STATIONS 3 & 6 & 8)
Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!!
7.) The line with slope 2 passing through the point (4, 3)
equation: _______________
8.) The line with slope zero passing through the point (-5, 5) equation: _______________
9.) The line with slope ½ passing through the point (-6, 3) equation: _______________
10.) The line with slope 7 passing through the point (-8, -4) equation: _______________
11.) The line with slope -3 passing through the point (-6, -2) equation: _______________
12.) The line with slope 4/5 passing through the point (2, 5) equation: _______________
Part 3: Writing equation given 2 points (STATIONS 4 & 5)
Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!!
13.) (-1, 7) (4, -3)
equation: ____________________
14.) (-3, 5) (-3, -6)
equation: ____________________
15.) (7, 2) (-7, 2)
equation: ____________________
16.) (2, 5) (-8, 15)
equation: ____________________
17.) (8, 4) (-10, -5)
equation: ____________________
18.) (-1, -3) (4, -2)
equation: ____________________
Part 4: Writing equation given arithmetic sequence (STATION 9)
Write the equation in BOTH slope-intercept and standard form for each arithmetic sequence. SHOW ALL WORK TO RECEIVE CREDIT!!
19.) -10, -7, -5, -2, 1, 4…
slope-intercept: _______________
20.) 12, 17, 22, 27, 32…
slope-intercept: _______________
standard: _______________
standard: _______________
21.) 10, 6, 2, -2, -6, -10…
slope-intercept: _______________
22.) -26, -20, -14, -8, -2, 4…
slope-intercept: _______________
standard: _______________
standard: _______________
23.) 14, 16, 18, 20, 22, 24…
slope-intercept: _______________
24.) 19, 18, 17, 16, 15…
slope-intercept: _______________
standard: _______________
standard: _______________
Part 5: Writing equation of parallel lines (STATION 10)
SHOW ALL WORK TO RECEIVE CREDIT!!
25.) If two lines do not intersect and are in the same plane, then they must be _________.
26.) Find the slope of a line parallel to the line that passes through the points (-2, 0) and
(0, 4).
27.) Find the equation of the line that has a y-intercept of 6 and is parallel to y  
28.) Find the equation of the line that passes through (3, -2) and is parallel to y 
A. y 
2
2
2
x  4 B. y  x  2 C. y  x  3
3
3
3
D. y 
1
x2?
2
2
x?
3
2
x
3
29.) Find the equation of a line parallel to 4 y  8  3 x and goes through the point (5, 1)
30.) A line k has equation y  
what is the equation of line i?
2
x  1 . If k is parallel to line i and line i passes through point (4, 1),
3
Part 6: Writing equation of perpendicular lines (STATION 11)
SHOW ALL WORK TO RECEIVE CREDIT!!
31.) Find the slope of a line perpendicular to the line that passes through the points (5, 2) and
(8, -1).
32.) Write the equation of a line that is perpendicular to y  
2
1
x  and passes through the point
5
3
(-5, -3)?
33.) Which of the following is an equation of a line perpendicular to y  x  1 ?
A. y  3  x
B. 2 y  3  x
C.  x  y  3
D. x  y  3
34.) Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of
line j.
35.) Which is the slope of a line perpendicular to the line y  2 x  6 ?
A. 2
B.
1
2
C. 
1
2
D. -6
E. 
1
6
36.) Which lines are perpendicular?
1
x6
2
A.
1
y   x 1
2
y
y  3x  1
B.
y  3x  1
2
x3
3
D.
3
y   x 1
2
y  2x
C.
1
y x
2
y
37.) Which of the following statements are true about lines w, n, p, and z?
w: y 
A. I only
3
x2
2
I. w  p
B. II only
n: y 
2
x6
3
3
p: y   x 3
2
II. n z
C. III only
D. I and II
z: y 
III. z  p
E. II and III
2
x 1
3
```
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