which equation represents a line that passes through (5, 1) and has a slope of $\frac{1}{2}$?\n$y…

which equation represents a line that passes through (5, 1) and has a slope of $\frac{1}{2}$?\n$y - 5=\frac{1}{2}(x - 1)$\n$y-\frac{1}{2}=5(x - 1)$\n$y - 1=\frac{1}{2}(x - 5)$\n$y - 1=5(x-\frac{1}{2})$

which equation represents a line that passes through (5, 1) and has a slope of $\frac{1}{2}$?\n$y - 5=\frac{1}{2}(x - 1)$\n$y-\frac{1}{2}=5(x - 1)$\n$y - 1=\frac{1}{2}(x - 5)$\n$y - 1=5(x-\frac{1}{2})$

Answer

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Identify values

Given the point $(5,1)$ and slope $m=\frac{1}{2}$, so $x_1 = 5$ and $y_1=1$.

Step3: Substitute values

Substitute $x_1 = 5$, $y_1 = 1$ and $m=\frac{1}{2}$ into the point - slope form: $y - 1=\frac{1}{2}(x - 5)$.

Answer:

$y - 1=\frac{1}{2}(x - 5)$ (the third option)