Name:
Date:
MPM1D Homework
Lines Using Slope-Intercept Form
1. For each linear relation, state 3 points on the line other than the y-intercept.
a) y 
3
x 1
2
b) y 
1
x3
4
2. Given the slope and a point for the following linear relations, state the coordinates of another point.
a) m 
1
; 11,7 
2
b) m 
3
;  9,12 
5
3. Given the slope and a point for the following linear relations, write the equation of the line.
a) m 
2
;  9,5 
3
b) m 
3
; 15,4 
5
c) m 
7
; 24,6 
4
4. Find the equation of the line passing through the following sets of points.
a)  16,3  and 12,11
b)  9,2  and  5,6 
c) 10,24  and  8,3 
5. Find the equation for the following linear relations:
a)
b)
x
y
x
y
-8
1
-24
27
-4
4
-22
26
0
7
-20
25
c)
x
-27
-15
-3
y
-1
-9
-17
6. Adia baby sits for her neighbors. For 5 hours of babysitting she charges $70. For an overnight babysitting
job of 24 hours, she charges $317.
a) How much does she charge for 10 hours of babysitting?
b) How many hours did she babysit if she charged $83?
7. The local garage charges a fixed cost for repairs and an additional hourly rate. A repair job of 10 hours
came to $762. Another repair job of 21 hours cost a total of $ 1477.
a) What would a repair job of 9 hours cost?
b) How many hours did the repair job take if the total cost is $1347?
8. Determine the equation of the line which is parallel to the line y 
 8  1 .
1
x  6  5 , passing through the point
2
9. A line passes through the points  372,74  and 1364,360  . Find the equation of the line that is
parallel and passes through the point 64,22  .
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Solutions: 1. Answers may vary - examples a)  4,5 ,  2,2  , 2,4  , 4,7  b)  8,1 ,  4,2  ,
4,4 , 8,5 2. Answers may vary - examples a) 13,6  or 9,8 
b)  4,15 or  14,9
3
1
2
7
3a) y  x  11 b) y 
x  5 c) y  x  36 4a) y  x  5 b) y  2 x  16
5
2
3
4
3

2
3
1
c) y 
x  9 5a) y  x  7 b) y 
x  15 c) y 
x  19 6. y  13 x  5 a) $135
4
2
2
3
1
1
b) 6 hours 7. y  65x  112 a) $ 697 b) 19 hours 8. y  x  3 9. y 
x  38
2
4