Question

Slope of the line joining the points $(3,-2)$ and $(-1,a)$ is $-\frac{3}{2}$, then the value of $a$ is equal to

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (D)

$4$

Consider the given points.

$(3,-2)$ and $(-1,a)$

Slope $=-\frac{3}{2}$

We know that

$slope=\frac{y_2-y_1}{x_2-x_1}$

Therefore,

$\frac{a+2}{-1-3}=-\frac{3}{2}$

$\frac{a+2}{-4}=-\frac{3}{2}$

$\frac{a+2}{-2}=-3$

$a+2=6$

$a=4$

Hence, this is the answer.