NAME:________________________________
Period:______Date:______________________
algebra 1
equations of lines
Remember the slope/intercept form of a line: y  y1  mx  x1 
Write the equation of a line with these characteristics:
Ex.
Slope =  2
through 5,1
3

Answer:
y 1 
2
 x  5
3
___________________________________1.
Slope =  5
through 2,6
___________________________________2.
Slope = 1
2
through  4,2
___________________________________3.
Slope = 5
8
through 7,3
___________________________________4.
Slope = 2
___________________________________5.
Slope =  4
through 8,0
7
through  5,1
Find the slope between each pair of points:
and
3,1
______________6.
5,9
and
9,12
______________7.
8,5
and
 2,7
______________8.
6,3 and
9,3
______________9.
 4,8 and
3,1
______________10.
7,2
8,5
Ex.:
 4,2
and

m
y 2  y1  1  2  3


x2  x1 3  4
7
First find the slope. Then write an equation for the line between each pair of points.
m  ______________ Equation:_________________________________11.
4,7
and
5,9
m  ______________ Equation:_________________________________12.
3,8
and
1,5
m  ______________ Equation:_________________________________13.
 1,2 and
4,1
m  ______________ Equation:_________________________________14.
3,7
and
 2,4
m  ______________ Equation:_________________________________15.
 9,2 and
 4,1
Use the formula y  y1  mx  x1  to write an equation for each line.
__________________________________16.
Slope =  5
through 2,6
__________________________________17.
Slope = 1
2
through  4,2
__________________________________18.
Slope = 5
8
through 8,3
__________________________________19.
Slope =  3
__________________________________20.
Slope = 2
5
through 10,1
through  2,1
First find the slope. Then write an equation for the line between each pair of points.
21.
Goes through 6,3 and 3,4 m  _______ ___________________________________
22.
Goes through 3,1 and  2,6
m  _______ ___________________________________
23.
Goes through 8,23 and 6,18
m  _______ ___________________________________
24.
Goes through 3,5 and  3,13
m  _______ ___________________________________
25.
Goes through 1,1 and 2,3
m  _______ ___________________________________
Write the equation for these lines. (Remember, horizontal lines have a slope of 0.)
___________________________________26.
Horizontal line through 2,6
___________________________________27.
Horizontal line through 7,3
___________________________________28.
Horizontal line through  3,5
Graph these lines.
Ex.
y2
3
x  7 
5
31.
y 1 
1
x  2
4
5
x  2
7
29.
y3
32.
y  3  0x  2
Find an equation of each line, and graph the lines.
33.
goes through 3,5 — slope is 2
5
Equation:
35.
Equation:
34.
goes through 0,8 — slope is 13
2
Equation:
goes through  4,1 — slope is 7
4
36.
Equation:
goes through 0,0 — slope is  8
7