Question

Write the equation of the line that passes
through (-6,4) and is parallel to y=1/3x-1.

Answer 1

Explanation:

y = (1/3)x - 1

m = 1/3

Parallel lines have same slope. m = 1/3

(-6 , 4)

In y = mx + b equation, plugin the values x = -6 , y = 4 and m = 1/3

`4 = (1)/(3)*(-6) + b\\\\\\4 = -2 + b \\\\\4 + 2 = b\\\\b = 6`

Equation: y = mx + b

`y = (1)/(3)x + 6`