Geometry:
1 answer:
Answer:
Step-by-step explanation:
The transformations you want are ...
- 90° CCW: (x, y) ⇒ (-y, x)
- reflection over x-axis: (x, y) ⇒ (x, -y)
- translation by your rule: (x, y) ⇒ (x+6, y-1)
Taken together, these make the transformation ...
(x, y) ⇒ (-y+6, -x-1)
So, your points become ...
A(0, 0) ⇒ A'(6, -1)
B(8, 1) ⇒ B'(5, -9)
C(5, 5) ⇒ C'(1, -6)
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The attachment shows the original triangle in red and the progression to the final triangle in blue.
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Answer:
Answer c:
Step-by-step explanation:
Hi there!
Let´s start writting the formula
If we multiplicate both sides by (x₂ - x₁):
Then if we add y₁ to both sides of the equation:
Then, the right answer is the answer c)
Have a nice day!
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = =
= 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line