Question

The slope of the line stated below is $y-5=2(x-7)$.

• A. -2
• B. 2
• C. -9
• D. 9

Answer 1

The correct option is B 2

The given equation of line is $y-5=2(x-7)$

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

$\therefore y-5=2(x-7)⟹y-5=2x-14$

$⟹y=2x-14+5$

$⟹y=2x-9$

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

$m=2$ and $c=-9$

Hence, slope of the line is $2$.