Single Choice

Slope of the line given below is $$3(x + 3) = y -1$$.

A$$\dfrac{1}{3}$$
B$$3$$
Correct Answer
C$$\dfrac{-1}{3}$$
D$$-3$$

Solution

The given equation is $$3\left( x+3 \right) =y-1$$
To obtain its slope we convert it into slope-intercept form, which is $$ y=mx+c$$ ......... $$(1)$$ by solving the equation for $$y$$
$$\therefore 3\left( x+3 \right) =y-1\implies y=3\left( x+3 \right) +1\implies y=3x+10.$$
Comparing it with $$(1)$$ we get
$$m=3$$ and $$c=10$$
Hence, the slope is $$3$$.

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