Find the equation for the line that passes through the point (5,5), and that is parallel to the line with the equation −6x+3y=9.

Question

This keeps stumping me

The answer I got is Y=-6x+30

But that doesn't seem right

Could someone help me if I got it wrong and if not tell me what I can fix about my answer

Answer 1

-6x + 3y = 9

3y = 6x + 9

y = 2x + 3     The slope of this line is 2. Since parallel lines have the same slope, the new line will also have a slope of 2. You now have a point (5,5) and a slope; so, use the Point-Slope form for the equation of a line.

y - y₁ = m(x - x₁)

y - 5 = 2(x - 5)

y - 5 = 2x - 10

y = 2x - 5