The teacher then changed the line so it had a slope of 2, but still went through the same point.

11+ Sketch The Lines Through The Point With The Indicated Slopes On The Same Set Of Coordinate Axes.
Gif. So here we have the point to combat three. Okay, so we want you sketch the lines through the following point.

The slope of a line in the plane containing the x and y axes is generally represented. These four points only represent the coordinates of the point without rotating around the system more than once. Take note that the slope obtained would be the same no matter which two points on the line were selected to determine the rise and the run.

The teacher then changed the line so it had a slope of 2, but still went through the same point.

Use instead the angle of the line from passer to i suggest you use trigonometry for 2 reasons. Okay, so we want you sketch the lines through the following point. It doesn't matter which set of coordinates you designate as (x₁y₁) or (x₂y₂). This is affine tranfsormations which is very similar to linear transf.