Question

if the straight line joining two points P(5,8),Q(8,K) is parallel to x axis .then write the value of K

Answer 1

Answer:

Hence the correct answer is $8$.

Step-by-step explanation:

As we know that slope $\left( m \right)$ of the line joining the two points $\left( {x}_{1}, {y}_{1} \right)$ and $\left( {x}_{2}, {y}_{2} \right)$, is given as-

$m = \frac{\left( {y}_{2} - {y}_{1} \right)}{\left( {x}_{2} - {x}_{1} \right)}$  

Therefore, slope of line joining the points $\left( 5, 8 \right)$ and $\left( 8, k \right)$ is-

$m = \cfrac{k - 8}{8 - 5} = \cfrac{\left( k - 8 \right)}{3}$

Now,

Slope of $x$-axis $= 0$

As we know that if lines are parallel then they have the same slope.

$\therefore \cfrac{\left( k - 8 \right)}{3} = 0$

$k - 8 = 0$

$k = 8$

Thus the value of $k$ is $8$.