Question

which equation represents a line whose slope is \\(\frac{1}{2}\\) and whose y-intercept is 3?
\\(\circ\\) \\(y = \frac{1}{2}x - 3\\)
\\(\circ\\) \\(y = \frac{1}{2}x + 3\\)
\\(\circ\\) \\(y = -\frac{1}{2}x + 3\\)
\\(\circ\\) \\(y = 3x + \frac{1}{2}\\)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute given values

Substitute $m = \frac{1}{2}$ and $b = 3$ into the formula: $y = \frac{1}{2}x + 3$

Step3: Match with options

This equation matches option B.

Answer:

B. $y = \frac{1}{2}x + 3$