On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, negative 2) and (4, 2). Line C D goes through (negative 4, 0) and (4, negative 4). Line F G goes through (negative 3, negative 3) and (0, 3). Line H J goes through (negative 1, 3) and (1, negative 1). Which line is perpendicular to a line that has a slope of One-half?
line AB
line CD
line FG
line HJ
Answers
Answer:
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope line AB
we have
A(-4,-2),B(4,2)
substitute the values in the formula
step 2
Find the slope line CD
we have
C(-4,0),D(4,-4)
substitute the values in the formula
step 3
Find the slope line FG
we have
F(-3,-3),G(0,3)
substitute the values in the formula
step 4
Find the slope line HJ
we have
H(-1,3),J(1,-1)
substitute the values in the formula
step 5
Compare the slopes
we have
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
The slope of a line perpendicular to a line that has a slope of One-half must be negative 2
therefore
The line is HJ
Answer:
no
Step-by-step explanation: