Q:

The equation represents Function A, and the graph represents Function B:Function Af(x) = x βˆ’ 9Function Bgraph of line going through ordered pairs negative 1, negative 3 and 2, 3Which equation best compares the slopes of the two functions? Slope of Function B = 2 x Slope of Function A Slope of Function A = Slope of Function B Slope of Function A = 2 x Slope of Function B Slope of Function B = βˆ’ Slope of Function A

Accepted Solution

A:
Answer: Β  Β Slope of Function B = 2 x Slope of Function AStep-by-step explanation:step 1Find the slope of the function Awe have[tex]f(x)=x-9[/tex]This is the equation of the line into point slope form [tex]y=mx+b[/tex]where m is the slopeb is the y-interceptthereforeThe slope of the function A is [tex]m=1[/tex]step 2Find the slope of the function Bwe have the points(-1,-3) and (2,3)The slope m is equal to[tex]m=(3+3)/(2+1)=6/3=2[/tex]step 3Compare the slopes[tex]SlopeA=1\\ SlopeB=2[/tex]thereforeThe slope of the function B is two times the slope of the function A