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:
The fraction is 
Step-by-step explanation:
= 
Where x and y are the numerator and denominator of our new fraction respectively.
Also given is that x + y = 24
So
= 36 ÷ 60 = 0.6
x = 0.6y
Substituting x in x + y = 24 gives;
0.6y + y = 24 , 1.6y = 24
y = 24 ÷ 1.6 = 15
x = 24 - 15 = 9
So our fraction is 
Answer:
2
Step-by-step explanation:
18/32 = 1/2
Answer: Lower right corner
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Explanation:
The information that the temperature rises 3 degrees per hour will tell us the slope here. The slope is rise/run = 3/1 = 3. Each time we move up 3 on the y axis, we move 1 spot to the right.
As you can see in the bottom right hand corner graph, we start off at a temperature of 20 degrees. This is the point (x,y) = (0,20)
Then one hour later (x = 1), the temperature y bumps up to y = 23. Another hour passes by (x = 2) and y becomes y = 26. And so on.