Question

Which equation shows the point slope form of the line that passes through (5,1) and has a slope of 1/2

Answer 1

Answer:

3rd option, $y-1 = \frac{1}{2} (x-5)$

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.  

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form. Substitute the $m$, $x_1$, and $y_1$ for real values.

Since $m$ represents the slope, substitute $\frac{1}{2}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for $x_1$ and 1 for $y_1$. This gives the following equation:

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