Question

which is a linear equation with a slope of \\(\frac{1}{2}\\) and a \\(y\\)-intercept of -5?\
\\(\bigcirc\\) a) \\(y = -5x + \frac{1}{2}\\)\
\\(\bigcirc\\) b) \\(y = \frac{1}{2}x - 5\\)\
\\(\bigcirc\\) c) \\(y = \frac{1}{2}x + 5\\)\
\\(\bigcirc\\) d) \\(y = -\frac{1}{2}x - 5\\)

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify values

We are given that the slope $m=\frac{1}{2}$ and the $y$-intercept $b = - 5$.

Step3: Substitute into the formula

Substituting $m=\frac{1}{2}$ and $b=-5$ into $y=mx + b$, we get $y=\frac{1}{2}x-5$.

Answer:

B) $y=\frac{1}{2}x - 5$