find coordinate on line at given distance from given coordinate I got two coordinates of a straight line $(-2,-4)$ and $(3,4)$. How can i find a coordinate that lies on this line and is $5$ units away from the $(-2,-4)$ coordinate?

If $(h,k)$ be the required coordinates, 
the slope :$\dfrac{k-4}{h-3}=\dfrac{4+4}{3+2}$
$\iff\dfrac{k-4}8=\dfrac{h-3}5=t$(say)
$\implies k=4+8t,h=3+5t$
Now using the distance: $\{h-(-2)\}^2+\{k-(-4)\}^2=5^2$
Put the values of $h,k$
Can you take it from here?
