Question

hs cr algebra 2 with probability inear functions if ( g(x) = 3x ) is graphed on a coordinate plane, what is the ( y )-intercept of the graph?
options: 2, 0, 1, 3

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear function is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. When \(x = 0\), \(y=b\), so the \(y\) - intercept is the value of the function when \(x = 0\).

Step2: Identify the form of \(g(x)\)

The function is given as \(g(x)=3x\). We can rewrite it in the slope - intercept form \(y=mx + b\) as \(y = 3x+0\).

Step3: Find the \(y\) - intercept

Comparing \(y = 3x + 0\) with \(y=mx + b\), we see that \(b = 0\). So the \(y\) - intercept of the graph of \(g(x)=3x\) is \(0\).

Answer:

\(0\)