Question

of the line represented by the equation below.
$y = \frac{1}{3}x + 2$
answer
attempt 1 out of 2
answer:

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Identify \(m\) and \(b\) from the given equation

The given equation is \(y=\frac{1}{3}x + 2\). Comparing this with the slope - intercept form \(y=mx + b\), we can see that \(m=\frac{1}{3}\) (the slope) and \(b = 2\) (the \(y\) - intercept). If the question is about the slope, the slope is \(\frac{1}{3}\); if it is about the \(y\) - intercept, the \(y\) - intercept is \(2\) (the value of \(y\) when \(x = 0\), and the line crosses the \(y\) - axis at \((0,2)\)). Assuming the question is about the slope (since the title is "Slope Intercept" and maybe asking for slope or \(y\) - intercept, but the most common first question is about slope or \(y\) - intercept. If we assume slope:

Answer:

\(\frac{1}{3}\)

(If the question was about \(y\) - intercept, the answer would be \(2\). Since the original question's full text is a bit cut off, but from the equation \(y=\frac{1}{3}x + 2\), if we need to find the slope, the slope is \(\frac{1}{3}\); if \(y\) - intercept, it's \(2\). Given the "Slope Intercept" in the title, likely slope or \(y\) - intercept. If we take slope, the answer is \(\frac{1}{3}\))