Question

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

Answer 1

`y = (1)/(3)x + 3`

Explanation:

Parallel lines have same slope

y = 1/3x - 4

m =
`(1)/(3)\\` and the line passes through (-3, 2)

Equation: y - y₁ = m(x - x₁)

`y - 2 = (1)/(3)(x - [-3])\\\\y -2 = (1)/(3)(x+3)\\\\\\y - 2 = (1)/(3)x+(1)/(3)*3\\\\y -2=(1)/(3)x +1\\\\y =(1)/(3)x + 1+2\\\\y = (1)/(3)x + 3`