SOLUTION: Write a slope intercept equation for a line that passes through (-1,-3) and (-2,5) please show me the steps to get the answer so I can learn how to do this thank you

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Question 639853: Write a slope intercept equation for a line that passes through (-1,-3) and (-2,5) please show me the steps to get the answer so I can learn how to do this thank you
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write a slope intercept equation for a line that passes through (-1,-3) and (-2,5) please show me the steps to get the answer so I can learn how to do this
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Equation for a line: y=mx+b, m=slope, b=y-intercept (slope intercept equation)
slope=∆y/∆x=rise/run=change in y/change in x=[5-(-3)]/[(-2)-(-1)]=(5+3)/(-2+1)=8/-1=-8
slope,m=-8
equation: y=-8x+b
solve for b using coordinates from either one of given points (-2,5)
5=-8*-2+b
5=16+b
b=5-16=-11
Equation of given line:
y=-8x-11