2.4
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2.4 MORE ABOUT LINEAR EQUATIONS
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SLOPE AND LINES
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POINT – SLOPE FORM
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EXAMPLE: WRITING AN EQUATION GIVEN A POINT AND THE SLOPE A line passes through with slope
What is an equation of the line?
5,2 3
5
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EXAMPLE: WRITING AN EQUATION GIVEN A POINT AND THE SLOPE A line passes through with slope
What is an equation of the line?
7, 1 3
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WRITING AN EQUATION GIVEN TWO POINTS
1. Find the slope
2. Substitute the slope and one point into the point-slope form
2 1
2 1
y ym
x x
1 1y y m x x
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EXAMPLE
A line passes through (3, 2) and (5, 8). What is an equation of the line in point-slope form?
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EXAMPLE
A line passes through (- 5, 0) and (0, 7). What is an equation of the line in point-slope form?
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STANDARD FORM
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WRITING AN EQUATION IN STANDARD FORM WITH INTEGER COEFFICIENTS
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EXAMPLE: WRITE THE EQUATION IN STANDARD FORM. USE INTEGER COEFFICIENTS.
35
4y x
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GRAPHING AN EQUATION
The quickest way to graph a line is to:1. Find the x – intercept by setting y = 02. Find the y – intercept by setting x = 03. Plot the intercepts4. Draw the line
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EXAMPLE: WHAT ARE THE INTERCEPTS OF THE EQUATION? GRAPH THE EQUATION.
3 5 15x y
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PARALLEL AND PERPENDICULAR LINES
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WRITING EQUATIONS OF PARALLEL AND PERPENDICULAR LINES
1. Find the appropriate slope2. Use the given point and point – slope form
to write the equation of the line
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EXAMPLE: WRITE THE EQUATION OF THE LINE IN SLOPE – INTERCEPT FORM.The line parallel to
and through
6 2y x
1, 3
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EXAMPLE: WRITE THE EQUATION OF THE LINE IN SLOPE – INTERCEPT FORM.
The line perpendicular to
and through
24
3y x
8,5
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EXAMPLE: WRITE THE EQUATION OF THE LINE IN SLOPE – INTERCEPT FORM.
The line parallel to
and through
4 2 7x y
4, 2
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EXAMPLE: WRITE THE EQUATION OF THE LINE IN SLOPE – INTERCEPT FORM.
The line perpendicular to
and through
21
3y x
0,6
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HOMEWORK
Page 86 #6 – 8 all, 11 – 29 odd, 32 – 35 all, 42 – 44 all