Answer:
A) The slope of f(x) is greater than the slope of g(x).
B) The function f(x) has a greater y-intercept.
Step-by-step explanation:
A) Calculate the slope of f(x) with the following formula:
Choose two points and susbtitute them into the formula, then the slope is:
The equation of the line is:
Where <em>m </em>is the slope and <em>b</em> is the y-intercept.
Therefore, the slope of g(x) is:
g(x)=5x-4
m=5
Then the sentence that compares the slopes is: The slope of f(x) is greater than the slope of g(x).
B) As you can see in the equation of the line shown above <em>b</em> is the y-intercept: g(x)=5x-4
Therefore, the y-intercept of g(x) is -4
The slope of f(x) can be determined by remembering that the line intersects the y-axis when x=0.
Then, as you can see in the table, when x=0, y=-1
Therefore the y-intercept of f(x) is -1.
Then, the f(x) has a greater y-intercept.