Passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
2 answers:
ANSWER
EXPLANATION
The line that passes through the origin has equation of the form:
y=mx
Where m is the slope.
Since the line is parallel to the line through A(-3, 0) and B(-6, 5), they have the same slope.
The slope is given by:
Hence the required equation is:
Multiply through by 3,
In standard form, the equation is
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Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola: