# Given $(x_1,y_1)$ and slope(angle), find $(x_2,y_2)$ coordinate

On a price/time chart where coordinates are defined in pixels, I am looking for formula to find $$(x_2,y_2)$$ coordinate. I already know the slope in degrees and $$(x_1,y_1)$$ coordinate. Help would be appreciated.

From the given information you only will be able to deduce a link between $$x_2$$ and $$y_2$$

The correlation between these two points are

$$\tan \Theta = \frac{y_2-y_1}{x_2-x_1}$$

where $$\Theta$$ is the angle. So

$$y_2 = \tan\Theta\cdot x_2-\tan\Theta\cdot x_1+y_1$$

You will need to specify $$x_2$$ to get a corresponding $$y_2$$.

Hope this helps :)