Write an equation of the line parallel to the given line that contains (1,2)

Answer 1

Please see the video.

Here is another approach and another possible answer.

We know that the Slope Intercept form of a straight line equation is

y=mx + b

Line 1;

Let us assume that the line that contains the point (1,2) has the slope m₁ =1.

Then the equation of the line that contains (1,2 ) is y = x +1.

Line 2:

A line parallel to this line will have the slope m₂ = 1. ( The slopes of Parallel lines will be equal

OR m₁ = m₂ )

So the equation of the Line 2 can be any equation with the slope 1.

It could be y = x +3. Answer.

or It could be y = x - 2 , Many more answers are possible.

y = 2x -3 is certainly NOT the answer to this question.

I encourage you to graph the equations y=x+1 . y = x +3 , y = x -2 and y - 2x -3 and see for yourself!!