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Write in standard form: An equation of a line which has a slope of 2/3 and contains the point (0,2)

Write In Standard Form An Equation Of A Line Which Has A Slope Of 23 And Contains The Point 02 class=

Sagot :

The equation of a line with slope 2/3 and point (0,2) is 3y - 2x = 6

The equation of a line is given as

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

m = slope

c = intercept

The data given are

  • slope (m) = 2/3
  • x = 0
  • y = 2

Intercept

Put in the values into the equation above and solve for the intercept.

[tex]y = mx + c\\2 = 2/3(0) + c\\c = 2[/tex]

Equation of the line

[tex]y = 2/3x +2\\[/tex]

Multiply through by 3

[tex]y = 2/3(x) +2\\y(3) = (3)2/3x + 2(3)\\3y = 2x + 6\\3y - 2x = 6[/tex]

From the above calculation, the equation of a line is 3y - 2x = 6

Learn more about equation of a line here;

https://brainly.com/question/13763238

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