How many lines are determined by the points a b c d and e if 3 of them arent collinear

10 possible lines

Step-by-step explanation:

Given

Required

Number of lines

From the question, the number of points (n) are:

If 3 points are not collinear (i.e. on a straight line), it means that only (5 - 3) of the points can be chosen

So, we have:

The number of lines is then calculated using combination formula.

We used combination because the analysis done above implies that 2 points are to be selected from a,b,c,d and e.

To select means combination

Having said that;

Substitute

Hence, there are 10 possible lines

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis