yasinazamy yasinazamy
  • 14-11-2018
  • Mathematics
contestada

Write the equation of a line, in slope intercept form, that has a slope of 1/2 and passes through the point (6, -3).

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gmany
gmany gmany
  • 14-11-2018

The slope-intercept form:

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

m - slope

b - y-intercept

We have the slope

[tex]m=\dfrac{1}{2}\to y=\dfrac{1}{2}x+b[/tex]

Put the coordinates of the point (6, -3) to the equation of the line:

[tex]-3=\dfrac{1}{2}(6)+b\\\\-3=3+b\qquad\text{subtract 3 from both sides}\\\\-6=b\to b=-6[/tex]

Answer: [tex]y=\dfrac{1}{2}x-6[/tex]

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