Question

The slope of the line stated below is

$y-2=5(x-2)$

• A. -5
• B. 5/8
• C. -5/8
• D. 5

Answer 1

Answer: (D)

5

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

To obtain its slope, we need to convert the above equation in slope-intercept form which is $y=mx+c$ ........ $\left(1\right)$ by solving the equation for $y$.

$\therefore y-2=5(x-2)⟹y-2=5x-10⟹y=5x-8.$

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

$m=5$ and $c=-8$

Hence, the slope is $5$.