Casillaslisette909 Casillaslisette909
  • 25-06-2021
  • Mathematics
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What is the equation of the following line written in slope-Intercept form?

What is the equation of the following line written in slopeIntercept form class=

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csmhy8hdg6
csmhy8hdg6 csmhy8hdg6
  • 25-06-2021
the answer in slope intercept form is y=-2/3x-13/3
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devishri1977
devishri1977 devishri1977
  • 25-06-2021

Answer:

Step-by-step explanation:

(-5,-1)  & (-2, -3)

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]

m= -2/3  ; (-5,-1)

[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]

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