we know that
If two lines are parallel, then, their slopes are equal.
The formula to calculate the slope between two points is equal to
we will proceed to calculate the slope in each case, to determine the solution of the problem
<u>Case A)</u> Point
Find the slope BC
Substitute the values in the formula
so
The equation is parallel to the line passing through the points
therefore
<u>the answer Part A) is</u>
------>
<u>Case B)</u> Point
Find the slope DE
Substitute the values in the formula
so
The equation is parallel to the line passing through the points
therefore
<u>the answer Part B) is</u>
------>
<u>Case C)</u> Point
Find the slope FG
Substitute the values in the formula
so
Any linear equation with slope will be parallel to the line passing through the points
<u>Case D)</u> Point
Find the slope HI
Substitute the values in the formula
so
The equation is parallel to the line passing through the points
therefore
<u>the answer Part D) is</u>
------>
<u>Case E)</u> Point
Find the slope JK
Substitute the values in the formula
so
Any linear equation with slope will be parallel to the line passing through the points
<u>Case F)</u> Point
Find the slope LM
Substitute the values in the formula
so
The equation is parallel to the line passing through the points
therefore
<u>the answer Part F) is</u>
------>