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Hello!
Slope-intercept form is y = mx + b where:
m = slope
b = y-intercept
Plug in the given values:
y = 2x - 4
The equation of the hyperbola is
The points on the graph are given as:
- (2, 0) and (-2, 0)
- (4, 0) and (-4, 0)
- Lines at: x = 1 and x = -1
The hyperbola can be represented as:
The points (2, 0) and (-2, 0) means that:
Square both sides
So, we have:
Also, we have:
a^2 = c^2 - b^2
Where c = 4
This gives
a^2 = 4^2 - 4
Evaluate
a^2 = 12
Substitute a^2 = 12 in
Hence, the equation of the hyperbola is
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