Question 101505
Slope=1/3 and Passes through(-2,8)

Start with the point-slope form and move it around to get the slope-intercept form. 
{{{y-y[1]=m(x-x[1])}}} Point-slope form of a linear equation. 
{{{y=m*x+b)}}} Slope-intercept form of a linear equation.
Start with the point-slope form. 
{{{y-y[1]=m(x-x[1])}}} 
{{{y-8=(1/3)*(x-(-2))}}} Plug in the value with the information given.
{{{y-8=(1/3)*(x+2))}}} Simplify.
{{{y-8=(1/3)*(x)+(1/3)*(2))}}} Distributive property.
{{{y-cross(8)+cross(8)=(1/3)*(x)+(2/3)+8)}}} Additive inverse of (-8).
{{{y=(1/3)*(x)+(2/3)+24/3)}}} To add fractions, you need the same denominator.
{{{y=(1/3)*(x)+(26/3)}}} Slope-intercept form of a linear equation.
Slope = 1/3
Intercept = 26/3
Verify your answer with your original point, (-2,8). 
{{{y=(1/3)*(x)+(26/3)}}}
{{{8=(1/3)*(-2)+(26/3)}}}
{{{8=-(2/3)+(26/3)}}}
{{{8=(24/3)}}}
{{{8=8}}}
Good answer.