Answer: The slope of f(x) is 10 the slope of g(x) is 5. g(x) has a greater y-intercept.
Explanation:
From the table it is noticed that the line f(x) passes through the points (-1,-11) and (0,-1).
Slope of the line,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-1-(-11)}{0-(-1)} =\frac{10}{1}=10[/tex]
Therefore the slope of f(x) is 10 and the y intercept is (0,-1).
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
[tex]g(x)=5x+1[/tex]
On comparing g(x) with slope intercept form we get,
[tex]m=5,b=1[/tex]
Therefore slope of g(x) is 5 and the y intercept is (0,1).
Therefore the slope of f(x) is greater than g(x) and the function g(x) has a greater y-intercept.
