ShìnshìàSabaku
ShìnshìàSabaku ShìnshìàSabaku
  • 25-02-2018
  • Mathematics
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Write an equation of the line with a slope of 2 that passes through the point (2,0)

Write an equation of the line with a slope of 2 that passes through the point 20 class=

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mathstudent55
mathstudent55 mathstudent55
  • 25-02-2018
You can use the slope-intercept form of the equation of a line.

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

m is the slope. We are told m = 2.

Now we have

[tex] y = 2x + b [/tex]

We need to find b, the y-intercept. We are given a point, (2, 0). We replace x with 2 and y with 0. Then we solve for b.

[tex] 0 = 2(2) + b [/tex]

[tex] -4 = b [/tex]

Now that we know that b = -4, we replace b with -4.

[tex] y = 2x - 4 [/tex]
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