Line ab and cd have the following points: a(2, 4), b(9, 8), c(-1, 2), and d(3, -5). are the lines parallel, perpendicular, or neither? perpendicular neither parallel

We are given coordinates of A, B, C and D :

A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).

Now, we need to find the slopes of AB and CD.

Slope of AB is :

.

Slope of CD is:

.

Slope of CD is negative reciprocal of slope of slope of AB.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt