Answer:
y=1/2x-3
gradient = 1/2
also should satisfy the given coordinates
Answer:
first one: function
second one: not a function
third one: not a function
fourth one: not a function
Step-by-step explanation:
it is never a function if two of the x inputs are the same or if one x input has two y outputs..
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Answer:
a) The line intersects with the circle once.
b) Tangent
Step-by-step explanation:
We are given the following equation for the circle:

How many times does the line y=-6 intersect with the circle?
We have to find the values of x when 
So





Since the line intersects the circle at one point, it is tangent to the circle.
The line intersects with the circle once.
Answer:
(x + 6)² + (y - 2)² = 75
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
here (h, k) = (- 6, 2) and r = 5
, hence
(x - (- 6))² + (y - 2)² = (5
)², that is
(x + 6)² + (y - 2)² = 75