```Chapter 7
Graphing
Linear
Equations
Chapter 7-1
Chapter Sections
7.1 – The Cartesian Coordinate System and
Linear Equations in Two Variables
7.2 – Graphing Linear Equations
7.3 – Slope of a Line
7.4 – Slope-Intercept and Point-Slope Forms
of a Linear Equation
7.5 – Graphing Linear Inequalities
7.6 – Functions
Chapter 7-2
2
Slope-Intercept
and Point-Slope
Forms of a Linear
Equation
Chapter 7-3
3
Slope-Intercept Form
In the slope-intercept form, the graph of a linear
equation will always be a straight line in the form
y = mx + b were m is the slope of The line and b is
the y-intercept (0, b).
slope
y-intercept
y = mx + b
Examples:
1
3
y = x+
y = 4x – 4
2
2
slope is 4
y-intercept is
(0, -6)
slope is
1 y-intercept is
3
2
(0, )
2
Chapter 7-4
4
Slope-Intercept Form
Write the equation -3x + 4y = 8 in slope-intercept
form.
Solve for y.
4y = 3x + 8
3x  8
y
4
3
8
y  x
4
4
3
y  x2
4
slope is
y-intercept
is (0, 2)
Chapter 7-5
5
Point-Slope Form
When the slope and a point on the line are known, we
can use the point-slope form to determine the line.
y  y1  m( x  x1 )
where m is the slope of the line and (x1, y1) is a point.
Example:
point (1, 3) and slope = 2:
y  3  2( x  1)
y  3  2x  2
y  2x  1
Chapter 7-6
6
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