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Slope intercept = (rise/run)x + y-intercept
Line 1: y = -2x - 6
Line 2: y = -3x + 3
One of the equation of ellipse is in a form of the lengths of its axes. If we have the length of its major axis as 2a and the length of its minor axis as 2b then, the values of a and b are,
2a = 16, a = 16/2 = 8
2b = 4, b = 4/2 = 2
Given that we have the major axis as vertical, the equation for ellipse is,
y²/a² + x²/b² = 1
Substituting,
y²/8² + x²/2² = 1
Simplifying,
y² + 16x² = 1
<em>Answer: y² + 16x² = 1</em>
X=4
Explanation
First subtract 4x^2 + 6x from both sides of the equation
X^2 - 8x + 16 = 0
Then let’s factorice the equation using the middle-term break:
x^2 - 4x - 4x + 16 = 0
x (x - 4) - 4 (x - 4) = 0
(x - 4) (x - 4) = 0
(x - 4) ^2 = 0
x = 0
Therefore the solution to the equation is x = 4