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 ?
a.
5x − 3y = 0
b.
-x + 3y = 0
c.
-5x − 3y = 0
d.
3x + 5y = 0
e.
-3x + 5y = 0

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

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: