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.

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Question 935342: 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.

(5, 0); parallel to 3x - 2y = 4
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!
an equation of the line that passing through point (,); parallel to :

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

Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (5,0), 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

Add to both sides to isolate y

Make into equivalent fractions with equal denominators

Combine the fractions

Reduce any fractions

So the equation of the line that is parallel 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 parallel to the given graph and goes through (,)

so, your line is the line
in the standard form , is:
...both sides multiply by

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.