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°.
You take 15*15 and you take 8*8 and then you add them both together
You find the least common multiple of the two denominators, then you multiply whatever you multiplied to the denominator to the numerator to get to the LCM.
ex:
3/4 + 2/3 --> 9/12+ 8/12= 17/12
Answer:
y = 1.5x + 5
Step-by-step explanation:
The slope(m) is 1.5
The line passes through (0,5)
Taking another point (x,y) on the line;
Slope(m) = change in y ÷ change in x
1.5 
Cross multiplying gives;
y = 1.5x + 5