ElmerZ217227 ElmerZ217227
  • 03-11-2022
  • Mathematics
contestada

what is the y intercept of a line with a slope of 2 and containing the point (3,4)

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KeyvonX166533 KeyvonX166533
  • 03-11-2022

The line cross the Y axis in y=-2

The equation of a line is Y=ax+b where a is the slope and b the y intercept of the line

we know that for x=3 => y=4 then we plug the values we know in the equation of the line:

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

now we use the point we know:

[tex]4=2\cdot3+b[/tex]

then solve for b

[tex]b=4-6=-2[/tex]

The the y intercept of the line is y=-2

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