Question

The table below represents a linear function f(x) and the equation represents a function g(x):

x     f(x)
−1  −5       g(x)
0    −1    g(x) = 4x + 3
1      3

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Answer 1

Part A: using the slope formula, y1-y2/x1-x2, plug in two points, so i did
3-(-1)/1-0, which then equals 4/1 which equals 4, and g(x) also has a slope of 4. So, the slopes in both functions are equal.

Part B: g(x) has a a greater y-intercept.
y=mx+b where b is the y-intercept and in the equation g(x)=4x+3, b=3 which makes 3 the y-intercept. Now, for the other function, the y-intercept is when x=0, and when x=0, f(x) (or y) equals -1 and 3>-1 so g(x) has the greater y-intercept.