If two lines are parallel and one line has the equation y = 3x + 2, what is the

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Question: If two lines are parallel and one line has the equation y = 3x + 2, what is the equation of a line parallel to it that passes through the point (1,1)?

Options:

y = 3x - 2
y = 3x + 1
y = 3x + 3
y = 3x + 0

Correct Answer: y = 3x - 2

Solution:

The slope of the parallel line remains 3. Using point-slope form, y - 1 = 3(x - 1) gives y = 3x - 2.

If two lines are parallel and one line has the equation y = 3x + 2, what is the

Practice Questions

If two lines are parallel and one line has the equation y = 3x + 2, what is the equation of a line parallel to it that passes through the point (1,1)?

y = 3x - 2
y = 3x + 1
y = 3x + 3
y = 3x + 0

Questions & Step-by-Step Solutions

If two lines are parallel and one line has the equation y = 3x + 2, what is the equation of a line parallel to it that passes through the point (1,1)?

Slope of Parallel Lines – Parallel lines have the same slope. The slope of the given line y = 3x + 2 is 3, so any line parallel to it will also have a slope of 3.
Point-Slope Form – The point-slope form of a line is used to find the equation of a line given a point and a slope. It is expressed as y - y1 = m(x - x1).

If two lines are parallel and one line has the equation y = 3x + 2, what is the

What’s inside this PDF?

If two lines are parallel and one line has the equation y = 3x + 2, what is the

Practice Questions

Questions & Step-by-Step Solutions

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