Question

Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is paraliel to line AB? O A. 5x - 31 = 0 O B. -x + 3 = 0 • c. -5x - 3v = 0 O D. 3x + 5y = 0 O E. 3x + 5y=0

Answer 1

What is a parallel line?

Parallel lines that share the same slope. They also have different y and x intercepts, so they never cross/intersect.

To find the equation of the line, first identify what information you need to discover and what information you know:

y - y₁ = m ( x - x₁)

• m : slope: ?
• (x₁, y₁) = (0,0)

To find the slope, use the slope formula: y₂ - y₁ / x₂ - x₁

Plug in (-3, 0) and (-6, 5) into this formula:

↓

`(5-0)/(-6- (-3))`

Solve: slope =
`(5)/(-3)`

Now that you have your slope and y intercept, you can write the equation of the parallel line:

y - 0 =
`(5)/(-3)` ( x -0)

or

-5x - 3y = 0 : Your answer is C