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?

The line passing through two points $(-2,-4),(3,4)$ can be expressed as
$$y-4=\frac{4-(-4)}{3-(-2)}(x-3),$$
i.e.
$$y=\frac{8}{5}x-\frac 45.$$
So, every point on this line can be expressed as $(t,\frac{8}{5}t-\frac 45)$ for some $t\in\mathbb R$.
Now, solve the following equation for $t$ :
$$5=\sqrt{(t-(-2))^2+\left(\frac{8}{5}t-\frac 45-(-4)\right)^2}$$
