Exercise

Angles made by the line with the positive direction of $\mathrm{X}-$ axis is $60°$. If the slope of the line is $\sqrt{k}$ then find the value of $k$.

Find $\mathrm{k}$ if the line passing through points $\mathrm{P}(-12,-3)$ and $\mathrm{Q}(4, \mathrm{k})$ has slope $\frac{1}{2}$.

Find the slope of the line passing through the given points.

$\mathrm{L}(-2,-3), \mathrm{M}(-6,-8)$

Find $\mathrm{k},$ if $\mathrm{R}(1,-1), \mathrm{S}(-2, \mathrm{k})$ and slope of line $\mathrm{RS}$ is -2.

Find $\mathrm{k},$ if $\mathrm{PQ}\Vert \mathrm{RS}$ and $\mathrm{P}(2,4), \mathrm{Q}(3,6), \mathrm{R}(3,1), \mathrm{S}(5,\mathrm{k})$.

Find $\mathrm{k},$ if $\mathrm{B}(\mathrm{k},-5), \mathrm{C}(1, 2)$ and slope of the line is 7.

Find the slope of the line passing through the points $A\left(2,3\right)$ and $B\left(4,7\right)$.

Find the slope of the line passing through the points $D(-6, -2)$ and $E(5, 4)$.