SOLUTION: Hello, I need help writing an equation in slope-intercept form for this problem: slope=1/3 and passes through (-2,8) Thank you

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Question 101505: Hello,

I need help writing an equation in slope-intercept form for this problem:

slope=1/3 and passes through (-2,8)

Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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%5B1%5D=m%28x-x%5B1%5D%29 Point-slope form of a linear equation.
y=m%2Ax%2Bb%29 Slope-intercept form of a linear equation.
Start with the point-slope form.
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-8=%281%2F3%29%2A%28x-%28-2%29%29 Plug in the value with the information given.
y-8=%281%2F3%29%2A%28x%2B2%29%29 Simplify.
y-8=%281%2F3%29%2A%28x%29%2B%281%2F3%29%2A%282%29%29 Distributive property.
y-cross%288%29%2Bcross%288%29=%281%2F3%29%2A%28x%29%2B%282%2F3%29%2B8%29 Additive inverse of (-8).
y=%281%2F3%29%2A%28x%29%2B%282%2F3%29%2B24%2F3%29 To add fractions, you need the same denominator.
y=%281%2F3%29%2A%28x%29%2B%2826%2F3%29 Slope-intercept form of a linear equation.
Slope = 1/3
Intercept = 26/3
Verify your answer with your original point, (-2,8).
y=%281%2F3%29%2A%28x%29%2B%2826%2F3%29
8=%281%2F3%29%2A%28-2%29%2B%2826%2F3%29
8=-%282%2F3%29%2B%2826%2F3%29
8=%2824%2F3%29
8=8
Good answer.