Point slope form

Question

I need to write an equation in point slope form so that it is a function. The slope is 690 and the point is (5,15350) I know how to write in point slope form but I can't figure out how to make it a function.

Answer 1

If (x,y) is any point on this line, the equation of the line in point slope form is 

 

Slope = (y-y1)/(x-x1)

 

Where (x1,y1) is the given point.

 

So, if the slope is 690 and point is (5,15350) 

 

690 = (y-15350) / (x-5)

 

690(x-5) = y-15350

 

690x - 3450 = y - 15350

 

⇒ y = 690x + (15350-3450)

 

 

Hence, the function is 

 

y = 690x + 11900