Question

13 fill in the blank 2 points plot a point b so that line is parallel to line f. there is more than one correct answer! point b is ( type your answer... ) or ( type your answer... ) or ( type your answer... )

Explanation:

Step1: Recall parallel - line property

Parallel lines have the same slope.

Step2: Identify points

Any point that when connected to an existing point (not on line \(f\)) creates a line with the same slope as line \(f\) will work. For example, if we consider the slope of line \(f\) and use the grid - based nature of the graph. If we move the same number of units horizontally and vertically from a non - line \(f\) point, we can find a point for a parallel line. Let's assume we use point \(A(-1,2)\). If the slope of line \(f\) is \(m=\frac{\Delta y}{\Delta x}\), moving the same \(\Delta y\) and \(\Delta x\) from point \(A\) will give a point on a parallel line.
If we move 1 unit to the right and 1 unit down from point \(A(-1,2)\), we get the point \((0,1)\). If we move 2 units to the right and 2 units down from point \(A\), we get the point \((1,0)\).

Answer:

\((0,1)\), \((1,0)\), \((2, - 1)\) (answers may vary)