Question

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 1

ANSWER

$- 5x - 3y = 0$

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:

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{5 - 0}{ - 6 - - 3} = - \frac{5}{3}$

Hence the required equation is:

$y = - \frac{5}{3} x$

Multiply through by 3,

$3y = - 5x$

In standard form, the equation is

$- 5x - 3y = 0$

Answer 2

Answer:

The answer is C. -5x - 3y = 0