RealSavage4Life
RealSavage4Life RealSavage4Life
  • 02-11-2018
  • Mathematics
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  • 07-11-2018

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

We have the points (-4, -6) and (2, 6). Substitute:

[tex]m=\dfrac{6-(-6)}{2-(-4)}=\dfrac{12}{6}=2\\\\y=2x+b[/tex]

Put the coordinates of the point (2, 6) to the equation of a line:

[tex]6=2(2)+b\\\\6=4+b\qquad|-4\\\\2=b\to b=2[/tex]

Answer: y = 2x + 2

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