# Find the equation of a parallel line

• Jan 31st 2009, 11:35 AM
Find the equation of a parallel line
Find the slope-intercept equation of the line that passes through (0, 1) and is parallel to 8x + y = 5.
• Jan 31st 2009, 11:41 AM
red_dog
$8x+y=5\Rightarrow y=-8x+5\Rightarrow m=-8$ (m is the slope)

The equation is $y-y_0=m(x-x_0)$, where $(x_0,y_0)=(0,1)$
• Jan 31st 2009, 11:54 AM
masters
Quote:

Originally Posted by red_dog
$8x+y=5\Rightarrow y=-8x+5\Rightarrow m=-8$ (m is the slope)

The equation is $y-y_0=m(x-x_0)$, where $(x_0,y_0)=(0,1)$

Once the substitutions are made in the above point-slope form of the linear equation, it must then be transformed into the requested slope-intercept form.

$y=mx+b$