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Writing the Equation of a Line
Page 6, 7, 8
Slope – Intercept Equation
bmxy
m = slope
b = y-intercept
y-intercept
b=2
1. Write the equation of a line given slope m that passes through the given point.
a) m=3 (1,5) c) m=1/2 (-2,-3)
bmxy Sub in
b )1(35
b353 3 b2
23 xy
bmxy Sub in
b )2(2
13
b 131 1 b 2
22
1 xy
2. Through the given point, draw the graph of the line with the given slope m.
3
2 ),6,4( d. m
3. Write the equation of a line that passes through the given points.
c) (-1,3), (1,-1)
bmxy b )1(23
b232 2 b1
-4
2
x
ym
22
4
m 2
bmxy
1
xy
Sub in
1b
4. Write the equation of a line whose slope and y-intercept are respectively:
a) 4,5 b) 2,-5
m=4, b=5
bmxy
54 xy
m=2, b=-5
bmxy
52 xy
Homework
Page 6#1b,d,3f,5e,6f
1. Write the equation of a line given slope m that passes through the given point.
b) m=2 (-3,5) d) m=2/3 (-1,4)
bmxy Sub in
b )3(25
b 656 6 b11
112 xy
bmxy Sub in
b )1(3
24
b3
24
3
2
3
2
b3
24
3
24
3
2 xy
3. Write the equation of a line that passes through the given points.
c) (12,-5), (-4,-1)
bmxy
b )4(4
11
b 111 1 b 2
21
21
xx
yym
16
4
)4(12
)1(5
m
bmxy
24
1- xy
Sub in
4
1m
5e) Find the slope and y-intercept of:
xx 2 2 92 xy
92 yx
2m9b
6f) Determine the coordinates of the point at which the graph intersects the y-axis.
xx 3 3 xy 3122
01223 yx
12 12 1232 xy
2 2
62
3 xy
(0,6)
B=6