A Linear Function Has The Same Y-intercept As X+4y=12 And Its Graph Contains The Point (5,4). Find The Y-intercept And Slope Of The Linear Function?

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Oddman answered
Translating the given equation to intercept form by dividing by 12, we see that it has a y-intercept of (0, 3). Intercept form is  x/(x-intercept) + y/(y-intercept) = 1.
  X/12 + y/3 = 1
Thus, your problem reduces to finding the slope of the line through (5, 4) and (0, 3).
  Slope = ∆y/∆x = (4-3)/(5-0) = 1/5
Your "linear function" has a slope of 1/5 and a y-intercept of (0, 3).
Another way to determine the y-intercept is to substitute x=0 and solve for y.
  X + 4y = 12
  0 + 4y = 12    (make the substitution)
  4y = 12    (simplify)
  y = 12/4    (divide both sides by 4)
  y = 3

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