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passing through (1,3), slope = 1⁄2
WITH SOLUTION


Sagot :

Answer:

The equation is x-2y = -5

Step-by-step explanation:

Using the slope intercept form

  • y = mx+b

We solve this by finding the y-intercept

Point (1,3) , x = 1 and y = 3

  • y = mx+b
  • y = 1/2x+b
  • 3 = 1/2(1) + b
  • 3 = 1/2 + b
  • 3 - 1/2 = b
  • 5/2 = b

Again , substitute the values:

  • y = mx+b
  • y = 1/2x + 5/2

We get the y-intercept form but we will transform it to standard form

  • y = 1/2x + 5/2

Multiply 2 to cancel the denominators

  • 2(y = 1/2x + 5/2)
  • 2y = 2/2x + 10/2
  • 2y = x + 5
  • -x + 2y = 5

Multiply -1 to make x positive

  • -1(-x + 2y = 5)
  • x - 2y = -5

Final answer: x-2y = -5