Question

Write the equation in slope-intercept form of a line that has a slope of 1/3 and passes through the point (-6, 0). y=1/3x, y=1/3x-6, y=1/3x-2, y = 1/3x+ 2 ​

Answer 1

Option D:
`y=(1)/(3)x+2` is the correct answer.

Explanation:

Given that:

Slope of the line = 1/3

Point = (-6,0)

Slope-intercept form of a line is given by:

y = mx + b

We will put the slope and point in the equation to find b.

`0=(1)/(3)(-6)+b\\0=-2+b\\b=2`

Slope intercept form of the given line is;

`y=(1)/(3)x+2`

Hence,

Option D:
`y=(1)/(3)x+2` is the correct answer.