An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to that passes through Point X?

Question

An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to  that passes through Point X?

anonymous · Answer

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mathmale · Answer

Important principle:  two parallel lines have the same slope.

Thus, to find a line thru X that is parallel to the given line, determine the slope of the given line.  Then  use the point-slope formula for the equation of a straight line, inserting your slope (m) and the coordinates of the given point (X).  Finally, solve the resulting equation for y.

anonymous · Answer

so, y+-12/5x+(-2) @mathmale

mathmale · Answer

would you please show separately the steps you've taken?

What is the slope of the given line, and how did you find it?

What you have typed (above) is not an equation, but an expression.

Your first response should have the following form:$$y-y _{0}=m(x-x _{0})$$

After you arrive at that form, simplify the result (that is, solve for y).