Question

The slope of the line given below is $y=-5(x+3)$

• A. $5$
• B. $\frac{15}{5}=3$
• C. $\frac{-15}{5}=-3$
• D. $-5$

Answer 1

Answer: (D)

$-5$

The given equation is $y=-5(x+3)$

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 $y$.

$\therefore y=-5(x+3)⟹y=-5x-15$

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

$m=-5$ and $c=-15$

Hence, the slope is $-5$.