Question

8) Find the midpoint of the equation y = 4x + 6 between the x-intercepts and the y-intercepts.​

Answer 1

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Answer:

  (-3/4, 3)

Step-by-step explanation:

I find it easier to determine the intercepts when the equation is in standard form:

  4x -y = -6

The x-intercept is found where y=0:

  4x = -6   ⇒   x = -6/4 = -3/2

The y-intercept is found where x=0:

  -y = -6   ⇒   y = 6

Then the midpoint is ...

  M = ((-3/2, 0) +(0, 6))/2 = (-3/4, 3)