Check my answers to see if they are correct and show how you got it, have an EOC tomorrow!!

1. Which best describes the difference between the graphs of f(x) + - 5x+3/4 and g(x) = -10x +3/4
answers:
A.The graph of f(x) is twice as steep as the graph of g(x)
B. the graph of f(x) is half as steep as the graph of g(x) (my answer)
C.The graph of f(x) has a y- intercept of 5 while g(x) has a y-intercept of 10
D. Both A and C are true

2. Find the slope of the line that contains (1.6) and (10,-9)
A. -3/11
B. -3/5
C. -5/3 my answer
D. -11/3

3.Find the slope of the line described by x- 3y = -6
A. 1/3 my answer
B. -3
C. -1/3
D. 3

4. Write the equation that describes the line in slope intercept form : slope= 4, point (3,-2) is on the line
A. y= 4x+14
B. y= 4x-14 my answer
C. y= 4x+10
D. y= 4x- 2






Answer :

1. f(x) = -5x + ³/₄
   g(x) = -10x + ³/₄
The answer is B.

2. y₂ - y₁ = -9 - 6 = -15 = -1²/₃
    x₂ - x₁    10 - 1      9
The answer is C.

3.      x - 3y = -6
    x - x - 3y = 6 - x
             -3y = 6 - x
             -3y = -x + 6
              -3        -3
                y = ¹/₃x - 2
The answer is A.

4.   y - y₁ = m(x - x₁)
    y - (-2) = 4(x - 3)
      y + 2 = 4(x - 3)
      y + 2 = 4(x) + 4(-3)
      y + 2 = 4x + (-12)
      y + 2 = 4x - 12
         - 2           - 2
             y = 4x - 14
The answer is B.