Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
5
Step-by-step explanation:
If their average is 6 and there are three numbers in total, the total sum of the three numbers would be:
6×3 = 18
You know that two of them is 6 and 7, so you can find the last number easily.
18-6-7 = 5
From 6,1 to 7,4
We can determine the slope of the line
rise/run
3/1=3
Now we know the slope of the line, a line parallel to it must obtain the same slope, therefore, I tried to see if the increase in y is three times the increase in x
I found the true pair to be A
(-4,1) and (-2,7)
3/4 I believe since 6 1/4- 51/2 is 3/4
16%. You divide those two numbers and then multiply the answer by 100