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The line passes the point (3-4) and the slope of 3

Sagot :

Answer:

3x-y = 13

Step-by-step explanation:

Using the slope intercept form

  • y = mx+b

where m = slope and b = y-intercept

Given: m = 3

So ,

  • y = mx+b
  • y = 3x+b

Now. we solve for b by substituting the point (3,-4)

  • y = 3x+b
  • -4 = 3(3)+b
  • -4 = 9 + b
  • -4-9 = b
  • -13 = b

Again substitute ,

  • y = 3x+b
  • y = 3x-13

Convert to standard form

  • y = 3x-13
  • -3x+y = -13
  • 3x-y = 13

Therefore , the line is 3x-y = 13

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y = 3/4 × - 37/4

or

- 3× + 4y = - 37

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