We are given
equation of line as
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
we can see that
they are not equal
so, this is FALSE
Answer:
Option D is the correct answer
Step-by-step explanation:
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
y = -5/4x + 6
Step-by-step explanation:
Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b
Since it passes through the point (-8,4):
4 = -5/4 * (-8) + b <=>
4 = -2 + b <=>
4 + 2 = b <=>
b = 6
Hence the line is going to be: y = -5/4x + 6
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