Question

The slope of the line $y+3=\frac{1}{2}(x-5)$ is:

• A. $\frac{1}{2}$
• B. $-\frac{1}{2}$
• C. $\frac{11}{2}$
• D. $-\frac{11}{2}$

Answer 1

The correct option is A $\frac{1}{2}$

The given equation of line is $y-3=\frac{1}{2}(x-5)$

To get the slope, we need to convert the above equation in slope-intercept form i.e. in the form of $y=mx+c$ ........ $\left(1\right)$

$\therefore y-3=\frac{1}{2}(x-5)⟹y-3=\frac{1}{2}x-\frac{5}{2}$

$⟹y=\frac{1}{2}x-\frac{5}{2}+3$

$⟹y=\frac{1}{2}x-\frac{1}{2}$

Comparing above equation with $\left(1\right)$ we get,

$m=\frac{1}{2}$ and $c=-\frac{1}{2}$

Hence, slope of the line is $\frac{1}{2}$.