Question

Find the slope intercept equation of the line that passes through (-4,4) and has a slope of 1/3

Answer 1

`y=(1)/(3)x + 5(1)/(3)`

Explanation:

Since we know a point that this line passes through and we have the slope, we can change this into point slope form

`y-4=(1)/(3) (x+4)`

now, to change this into slope intercept form, we add four to both sides and then multiply the parenthesis

`y=(1)/(3)(x+4)+4`

Now we multiply

`y=(1)/(3)x+1(1)/(3) +4`

Combine like terms

`y=(1)/(3)x +5(1)/(3)`

This would be your final answer.