Question

The slope and the y-intercept of the given line, $y-3x-6=0$ are respectively,

• A. $3,-6$
• B. $-3,-6$
• C. $3,6$
• D. $-3,6$

Answer 1

The correct option is C $3,6$

The given equation is $y-3x-6=0$ ........ $\left(1\right)$

To obtain the slope and $y-$intercept of the given equation, we write it in slope-intercept form which is

$y=mx+c$, where $m$ and $c$ are slope and $y-$intercept

From $\left(1\right)$,

$y-3x-6=0⟹y=3x+6$

Comparing it with $y=mx+c$ we get,

slope$=m=3$ and y-intercept$=c=6$

Hence, option C is correct.