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 ?

Answer 1

Answer: -5x -3y = 0

Explanation:

took on edmentum/plato and got it right. enjoy :)

Answer 2

Equation of line , 5x + 3y = 0

Explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by
`(y_2-y_1)/(x_2-x_1)`

Here points are given by (-3,0) and (-6,5)

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

The slope of parallel lines are same. So slope of required line
`=(-5)/(3)`

Equation of a line with slope m passing through origin is given by

y =mx

So equation of line,
`y=(-5)/(3)x\\\\3y=-5x\\\\5x+3y=0`

Equation of line , 5x + 3y = 0