Question

What would be the equation be fore a slope-intercept form of a line with the slope of 1/3 and passes through the point of (-6,0)

answer options

a. Y= 1/3 x

b. Y= 1/3 x - 6

c. Y= 1/3 x - 2

d. Y= 1/3 x + 2

Answer 1

d

Explanation:

the equation of a line in slope- intercept form is

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

here m =
`(1)/(3)` , then

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

to find c substitute (- 6, 0 ), that is x = - 6, y = 0 into the partial equation

0 = - 6 ×
`(1)/(3)` + c = - 2 + c ( add 2 to both sides )

2 = c

y =
`(1)/(3)` x + 2 ← equation of line