4'3 Linear Equations in two variables - PowerPoint PPT Presentation

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4'3 Linear Equations in two variables

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... the graphs of each pair of equations are parallel, perpendicular, or neither. ... line that passes through the given point and is perpendicular to the given line ... – PowerPoint PPT presentation

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Title: 4'3 Linear Equations in two variables


1
4.3 Linear Equations in two variables
2
In the previous sections we were asked to sketch
the line given its equation and find the slope of
a line. In this section we will find the equation
given certain information about the line.
3
In order to do this there are 3 forms for
equations of lines with which we need to be
familiar. They are
  • 1) standard form
  • 2) slope-intercept form
  • 3)point-slope form

4
When writing the equation in standard form be
sure that A,B, and C have no fractions and that A
is positive. If A,B, or C are a fraction multiply
the equation by the LCD to remove fractions. If A
is negative then multiply both sides of the
equation by -1.
5
Write each equation in standard form
6
In order to write the equation for a line in
slope-intercept form, solve the equation for y.
Write each equation in slope-intercept form.
7
To write the equation for a line
  • Start with either the point-slope or
    slope-intercept form
  • Substitute in the necessary information
  • Finish by writing the equation in the specified
    form

8
To use the point-slope form we need a point the
line passes through and the slope of the
line.Write the standard form equation for the
line with slope -3 and going through the point
(-1,4)
9
Use the point-slope form to write the equation
for the line through the points (5, 9) and (2,
-3). Write the line in slope-intercept form.
10
Use the slope-intercept form to write the
standard form equation for the line with
slope-2/3 and b3
11
Use the slope-intercept form to write the
standard form equation for the line that goes
through the points (-2,2) and (1, 6).
12
Write each equation in slope-intercept form to
find the slope and the y-intercept then sketch
the graph.
13
Tell whether the graphs of each pair of equations
are parallel, perpendicular, or neither.
14
Write the equation of the line that passes
through the given point and is parallel to the
given line.
15
Write the equation of the line that passes
through the given point and is perpendicular to
the given line
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