yasinazamy yasinazamy
  • 13-11-2018
  • Mathematics
contestada

Write the equation of a line, in slope intercept form, that has a slope of 1 and passes through the point (2, 4).

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altavistard
altavistard altavistard
  • 14-11-2018

Start with the simplest equation of a straight line:  y = mx + b.

Subst. 1 for m, 2 for x and 4 for y.  Then, 4 = 1(2) + b, or b = 2.

In slope-intercept form, the equation of this line is y = x + 2.

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gmany
gmany gmany
  • 15-11-2018

The slope-intercept form:

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

m - slope

b - y-intercept

We have the slope [tex]m=1\to y=1x+b=x+b[/tex]

and point (2, 4). Substitute:

[tex]4=2+b[/tex]      subtract 2 from both sides

[tex]2=b\to b=2[/tex]

Answer: [tex]y=x+2[/tex]

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