Question

Find the equation of a line that passes through (-7,2) and is parallel to the line 7x+2y=0

Answer 1

• 7x + 2y = - 45

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Given

• Line 7x + 2y = 0,
• Point (-7, 2) on a parallel line.

Find the equation of the parallel line.

We know parallel lines have equal slopes.

Find the slope of the given line:

• 7x + 2y = 0
• 2y = - 7x
• y = - 3.5x

The slope is - 3.5.

Use point-slope equation to find the equation of the parallel line.

• y - 2 = - 3.5(x - (-7))
• y - 2 = - 3.5x - 24.5
• y = - 3.5x - 22.5

Convert it to standard form:

• y = - 3.5x - 22.5
• 2y = - 7x - 45
• 7x + 2y = - 45