which is a linear equation with a slope of \\(\\frac{1}{2}\\) and a \\(y\\)-intercept of -5?\\n\\(\\bigcirc\\…

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

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

Answer

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 of m and b

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

Step3: Substitute m and b 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) $y=\frac{1}{2}x - 5$