Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Ask any question and get a detailed, reliable answer from our community of experts.

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

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.