Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

Answer:a,b,c
Step-by-step explanation:
The are all equivalent
We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
Answer:
x = 15
Step-by-step explanation:
6/4 = 1.5
1.5*10 = 15
Check your work:
15/10 = 6/4 = 1.5
x = 15 is right