Answer:
The answer is given below
Step-by-step explanation:
The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:
AC = AB + BC
Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.
Therefore using line segment postulates:
AD = AB + BC + CD
But AB = -1 - (-6)= -1 + 6 = 5
BC = 2- (-1) = 2 +1 = 3
CD = 8 - (+2) = 8 - 2 = 6
Also AD = 8 - (-6) = 8 + 6 = 14
To prove AD = AB + BC + CD
AD = 5 + 3 + 6 = 14
The answer is choice D.
y = 2x
I will show two reasons why this equation is correct.
Let x = 1
y = 2(1)
y = 2
The first point in the table is (1,2).
In the table, x = 3 is the second choice.
y = 2(3)
y = 6
The second point in the table is (3,6).
Answer: y = 2x
Answer:
y = -4x - 4
Step-by-step explanation:
If we have two lines in slope intercept form as

then the product of the slopes 
In other words, 
We have the first line as

The slope of this line is
The slope of a perpendicular line will be the negative of the reciprocal of this line
Reciprocal of 1/4 is 4
So slope of perpendicular line is -4 which implies
y = -4x + c
We have to determine c
Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c
8 = (-4)(-3) + c
8 = 12 + c
c = -4
So the equation of the perpendicular line is y = -4x - 4 (Answer)
It is always a good idea to plot these graphs and see if they fit the data provided
The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)