Question

MULTIPLE CHOICE PLEASE HELP

a line is parallel to y= 1/3x+5 and passes through (-6,0).

which is the equation of the line?

a) y= -3x
b) y= -3x+2
c) y= 1/3x+2
d) y=1/3x -6

Answer 1

C

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y =
`(1)/(3)` x + 5 ← is in slope- intercept form

with slope m =
`(1)/(3)`

• Parallel lines have equal slopes, hence

y =
`(1)/(3)` x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y =
`(1)/(3)` x + 2 → C