Bergey's manual of systematic bacteriology contains
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Use the slope-intercept form to find the slope.
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The slope-intercept form is
y = m x + b
where m is the slope and b is the y-intercept.
y = m x + b
Using the slope-intercept form the slope is
− 4 . m = − 4
To find an equation that is parallel to
y = − 4 x + 2
the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
( − 2 , 5 ) m = − 4
Using the point-slope form
y − y 1 = m ( x − x 1 )
plug in
m = − 4 , x 1 = − 2
and
y 1 = 5 . y − ( 5 ) = ( − 4 ) ( x − ( − 2 ) )
Solve for
y .
Multiply
− 1 by 5 . y − 5 = ( − 4 ) ( x − ( − 2 ) )
Simplify
( − 4 ) ( x − ( − 2 ) ) .
Multiply
− 1 by − 2 . y − 5 = − 4 ( x + 2 )
Apply the distributive property.
y − 5 = − 4 x − 4 ⋅ 2
Multiply − 4 by 2 . y − 5 = − 4 x − 8
Move all terms not containing
y to the right side of the equation.
Add
5
to both sides of the equation.
y = − 4 x − 8 + 5 Add − 8 and 5 . y = − 4 x − 3
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