SOLUTION: write an equation of the line that contains the indicated point and meets the indicated condition(s). Write the ﬁnal answer in the standard form Ax + By = C, A ≥ 0.

Question 935263: write an equation of the line that contains the
indicated point and meets the indicated condition(s). Write the
ﬁnal answer in the standard form Ax + By = C, A ≥ 0.
(0, -4); perpendicular to x + 3y = 9
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
, .
(,); perpendicular to

Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line

Remember, any two perpendicular lines are negative reciprocals of each other. So if you're given the slope of , you can find the perpendicular slope by this formula:

where is the perpendicular slope

So plug in the given slope to find the perpendicular slope

When you divide fractions, you multiply the first fraction (which is really ) by the reciprocal of the second

Multiply the fractions.

So the perpendicular slope is

So now we know the slope of the unknown line is (its the negative reciprocal of from the line ). Also since the unknown line goes through (0,-4), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point

Plug in , , and

Distribute

Multiply

Subtract from both sides to isolate y

Combine like terms

So the equation of the line that is perpendicular to and goes through (,) is

So here are the graphs of the equations and

graph of the given equation (red) and graph of the line (green) that is perpendicular to the given graph and goes through (,)

in form:
or
where =>
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SOLUTION: write an equation of the line that contains the indicated point and meets the indicated condition(s). Write the &#64257;nal answer in the standard form Ax + By = C, A &#8805; 0.

SOLUTION: write an equation of the line that contains the indicated point and meets the indicated condition(s). Write the ﬁnal answer in the standard form Ax + By = C, A ≥ 0.