What is the slope of a line that is perpendicular to the line shown

 a. 3

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

Then, the slope of a line passing through two points (0,3) and (3,2) is given by :-

Let m be the slope of the line perpendicular to the given line .

We know that the product of two perpendicular lines is -1.

Then , we have

Hence, the  slope of the line perpendicular to the given line  = 3

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

probably the last option

step-by-step explanation: