given the function f(x) =2x-5 and g(x) which function has a greater slopex g(x)2 04 56 10A. f(x) has a greater slopeB. g(x) has a greater slopeC. the slopes of f(x) and g(x) are the sameD. the slope of g(x) is undefined
Accepted Solution
A:
Answer:B. g(x) has a greater slope.Step-by-step explanation:The slope-intercept of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-interceptThe formula of a slope:[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]=========================================[tex]f(x)=2x-5\to m=2[/tex]From the table of function g(x) we have:x = 2 → y = 0x = 4 → y = 5Calculate the slope:[tex]m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5[/tex]The slope of f(x) is equal to 2.The slope of g(x) is equal to 2.5.2 < 2.5