Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 3
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17Link the Ideas
To write the equation of a straight-line graph, you can use the
following two constants:
• the rate of change or slope, m
• the y-intercept. If (0, b) is the point where the line crosses the y-
axis, then b is the y-intercept.
The equation of a non-vertical straight-line graph can be written
in slope-intercept form. The equation is y = mx + b, where m
_
rise
(
)
represents the slope
and b represents the y-intercept.
run
y-intercept,
Equation,
Table of Values
Graph
Slope, m
b
y = mx + b
_
Δy
1
y = 2x +
1
y
x
y
m =
2
Δx
_
0
1
2
m =
1
x
1
3
-2
0
2
m = 2
2
5
-2
_
_
1
1
Δy
y
y =
x +
1
x
y
m =
2
2
Δx
_
0
1
1
m =
2
x
2
2
0
2
-2
4
3
-2
_
_
1
Δy
y
-1
y =
x + (-1)
x
y
m =
2
2
Δx
_
1
0
-1
m =
2
x
2
0
0
2
-2
4
1
-2
_
Δy
y = -2x + (-1)
y
-1
x
y
m =
2
Δx
_
0
-1
-2
m =
1
x
1
-3
0
-2
2
m = -2
2
-2
-5
342
MHR • Chapter 7
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