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:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k = 
(x, y) → 
By this rule coordinates of the image points of A and B will be,
A(8, 6) → 
→ A'(5.3, 4)
B(12, 12) → 
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of .
Answer:
Step-by-step explanation:
y - z+6
Hope this helps you 3y=54-2
The first equation, make the y as the subject. y = 3 + 5x, then substitute y in the second equation and you will get the value of x. then, substitute the x in the first equation (y = 3 + 5x)
