document.write( "Question 209841: I have to write an equation for a line that passes through the point (0,-4) and is perpendicular to the line: y=-1/4x-3. I have tried many ideas, but they don't equal the point or that equation. \n" ); document.write( "

Algebra.Com's Answer #158620 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
To write the equation of a line, you need the Y-intercept and the slope. The Y-intercept is given to you in the problem, since you are told the line passes through (0,-4). Hence the Y-intercept is -4.
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\n" ); document.write( "To get the slope, you need to know the fact that when two lines are perpendicular to each other, there slopes are the negative inverses. From the given equation of the line in slope/intercept form, y=-1/4x-3, the slope is read off as the coefficient of x. Hence the slope of the line to which your line is perpendicular is -1/4. That means the slope of your line is 4.
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\n" ); document.write( "So now you have the slope and Y-Intercept. So that means you can write the equation of the line as follows:
\n" ); document.write( " $\"highlight%28y=4x-4%29\"$
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\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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