Question

which of these linear functions has a smaller slope? function a a graph of a line function b y = (1/4)x + 2 options: function b, function a

Explanation:

Step1: Find slope of Function A

Using two points \((0,1)\) and \((3,2)\) (from the graph), slope \(m_A=\frac{2 - 1}{3 - 0}=\frac{1}{3}\).

Step2: Slope of Function B

From \(y = \frac{1}{4}x+2\), slope \(m_B=\frac{1}{4}\).

Step3: Compare slopes

\(\frac{1}{4}=0.25\), \(\frac{1}{3}\approx0.33\). Since \(0.25<0.33\), \(m_B

Answer:

Function B