SOLUTION: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. Contains the point (-4, 8) and is perpendicular to the line 6x &#

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Question 458103: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-4, 8) and is perpendicular to the line 6x − y = 4

Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) (Show Source):
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Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Solve the given equation for in terms of everything else. The resulting coefficient on will be the slope of the given line. Perpendicular lines have slopes that are negative reciprocals, so calculate the negative reciprocal of the slope of the given line.

Then use the point-slope form of an equation of a line:

where are the coordinates of the given point and is the calculated slope.

Once you have done all of that you will have an equation of the desired line. From there you can leave it as is, put it into Standard Form, or put it into Slope-Intercept Form. That is the best you can do. Since there are infinite representations of the equation whose graph is a given line, you cannot write the equation of a line.

John

My calculator said it, I believe it, that settles it