Question

what is the slope of the line 3x + 2y +1 = 0 a] -3/2 b] 2/3 c] 1/3 d] 3/2

Answer 1

Answer:

-3/2

Step-by-step explanation:

3x+2y+1=0

2y=-3x-1

y=-3/2x-1

slope = -3/2

Answer 2

Given :

The equation of a line is  $\[3x + 2y + 1 = 0\]$.

To Find:

We have to find the slope of the given line.

Solution:

The  general equation of a line is given by,

                                        $\[y = mx + c\]$

where, m is the slope of the line.

∴ The given equation of a line is

                                       $\[3x + 2y + 1 = 0\]$

                                       $\[\begin{array}{l}2y = - 3x - 1\\\\y = \frac{{ - 3}}{2}x - \frac{1}{2}\end{array}\]$

           Here,                   $\[m = \frac{{ - 3}}{2}\]$

Hence, the slope of the given line is $\frac{-3}{2}$. ∴ Option ·a· is correct.