marcotomamarco marcotomamarco
  • 30-05-2022
  • Mathematics
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work out the equation of the line which has a gradient of 3 and passes through the point of (-1,3)

work out the equation of the line which has a gradient of 3 and passes through the point of 13 class=

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loneguy
loneguy loneguy
  • 30-05-2022

[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]

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