SOLUTION: a line passing through points A (1,-2) and B (4,-3) write the equation of a linear function in point slope form & in slope-intercept form

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Question 984198: a line passing through points A (1,-2) and B (4,-3) write the equation of a linear function in point slope form & in slope-intercept form
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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Find slope:
slope=(change in y)/(change in x)=(-2-(-3))/(1-4)=-(1/3)
slope: m=-(1/3)
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point slope form: (using point (1,-2))
y-y%5B1%5D=m%28x-x%5B1%5D%29
y-%28-2%29=-%281%2F3%29%28x-1%29 point slope form
y%2B2=-%281%2F3%29x%2B%281%2F3%29 (Simplify to check)
y=-%281%2F3%29x-%285%2F3%29 (check with below)
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slope-intercept form: (Using point (4,-3))
y=-%281%2F3%29x%2Bb
-3=-%281%2F3%294%2Bb
9=4-3b
5=-3b
-5%2F3=b
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y=-%281%2F3%29x-%285%2F3%29 (Check with above)