# How to find the coordinates?

##### 2 Answers

Feb 25, 2018

#### Explanation:

All we need to do is to solve the system of equations, the solutions are the required points, so:

thus the required coordinated are:

Feb 25, 2018

#### Explanation:

#4y=9x+4to(1)#

#y^2=9xto(2)#

#"from equation "(1)color(white)(x)9x=4y-4to(3)#

#"substitute "9x=4y-4" in equation "(2)#

#y^2=4y-4larrcolor(blue)"rearrange and equate to zero"#

#rArry^2-4y+4=0#

#rArr(y-2)^2=0rArry=2#

#"substitute "y=2" in equation "(3)#

#9x=8-4rArrx=4/9#

#"point of contact "=(4/9,2)#

graph{(y-9/4x-1)(y^2-9x)=0 [-10, 10, -5, 5]}