which linear function represents a slope of $\\frac{1}{4}$?
which linear function represents a slope of $\\frac{1}{4}$?
Answer
Explanation:
Step1: Calculate slope for first table
Use slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Take ((x_1,y_1)=(3,-11)) and ((x_2,y_2)=(6,1)). [m=\frac{1-(-11)}{6 - 3}=\frac{12}{3}=4]
Step2: Calculate slope for second table
Take ((x_1,y_1)=(-5,32)) and ((x_2,y_2)=(-1,24)). [m=\frac{24 - 32}{-1-(-5)}=\frac{-8}{4}=-2]
Step3: Estimate slope for graph
Count rise and run. Assume two points on the line (approximate). But for the first graph (the non - steepest one), if we consider the general trend (e.g., from ((0,3)) to ((8,5))), (m=\frac{5 - 3}{8-0}=\frac{2}{8}=\frac{1}{4})
Answer:
The first graph (the non - steepest one) represents a slope of (\frac{1}{4})