Answered

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What is the equation of the line that passes through (- 1/3 and has a slope of 2?

Sagot :

The equation of a line that passes through [tex](-1,3)[/tex] and has a slope [tex]2[/tex] is [tex]y=2x+5[/tex]

The equation of the line passes through the point is [tex](-1,3)[/tex]

One point and the slope are given, we will use one point form i.e.

[tex]y=mx+c.....(1)[/tex]

The point [tex](-1,3)[/tex] satisfies the equation and the slope is [tex]2[/tex]

Plug in these values in (1)

[tex]3=2(-1)+c\\3=-2+c\\c=3+2\\c=5[/tex]

Plug in the value of slope and c is

The equation becomes [tex]y=2x+5[/tex]

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