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Which is the equation of a line that has a slope of -2/3 and passes through point
(-3,-1)?
o y=-2/3x+ 1
O y=-2/3x+3
o y=-2/3x-1
0 y=-2/3x - 3


Sagot :

We have to find b

  • (-3,-1)
  • m=-2/3

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto -1=\dfrac{-2}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto -1=-2(-1)+b[/tex]

[tex]\\ \sf\longmapsto -1=2+b[/tex]

[tex]\\ \sf\longmapsto b=-3[/tex]

Now put in equation

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x-3[/tex]

Option D