Answer:
The answer to your question is Ф = 45°
Step-by-step explanation:
Data
A (1, 4)
B (-1, 2)
Process
1.- Find the slope of the line
formula
m =
Substitution
m =
Slope definition, is the steepness of a line and also is the tangent of the angle of the line.
tangent Ф = slope
tangent Ф = 1
Ф = tangent⁻¹ 1
Ф = 45°
Answer:
Point (0,0)
Step-by-step explanation:
Given the inequality y > 12x – 11.
We will check which of the given options will be applied for the inequality
A) (1,0)
Substitute with x = 1 and y = 0
0 > 12*1 - 11
0 > 1 ⇒ Wrong
So, Point (1,0) is not part of the solution of the inequality.
B) (3,2)
Substitute with x = 3 and y = 2
2 > 12*3 - 11
0 > 25 ⇒ Wrong
So, Point (3,2) is not part of the solution of the inequality.
C) (1,1)
Substitute with x = 1 and y = 1
1 > 12*1 - 11
1 > 1 ⇒ Wrong
So, Point (1,1) is not part of the solution of the inequality.
D) (0,0)
Substitute with x = 1 and y = 0
0 > 12*0 - 11
0 > -11 ⇒ True
So, Point (0,0) is part of the solution of the inequality.
Also, see the attached figure which represents the given inequality
The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality
