Question

The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) .

What is the slope of the line that is perpendicular to DE¯¯¯¯¯?



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Answer 1

3/10

Explanation:

Answer 2

The slope of the line that is perpendicular to DE is
`-(6)/(7)`

Explanation:

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

Step 1

Find the slope DE

we have

`D(7,4)\ E(1,-3)`

Substitute the values in the formula

`m=(-3-4)/(1-7)`

`m=(-7)/(-6)`

`m=(7)/(6)`

Step 2

we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

`m1*m2=-1`

Find the slope of the line perpendicular to DE

we have

`m1=(7)/(6)`

find m2

substitute and solve for m2

`(7)/(6)*m2=-1`

`m2=-(6)/(7)`