Which equation represents a circle with the same center as
2 answers:
Answer:
(x - 4)² + (y - 5)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
(x - 4)² + (y - 5)² = 2
with centre (4, 5) and r =
The comparable equation with equivalent left side and r = 2 is
(x - 4)² + (y - 5)² = 4
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Answer:
y = - 5x - 5
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, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = = - 5
The line crosses the t- axis at (0, - 5) ⇒ c = - 5
y = - 5x - 5 ← equation of line