# Thread: Need help on another math question?

1. ## Need help on another math question?

Find the shortest distance from the origin to the link 3x+2y=4....

is there an easy method to do this?

THANKS

3. sorry for bothering you guys but i really really need help >__<

how do i solve this question graphically and algebraically

x^2+y^2=25 and 3x-4y=0

THANKS A MILLION!

4. $x^2 + y^2 = 25$ is a circle of radius $5$.

$3x-4y = 0$ is the line $y = \frac{3}{4}x$.

So to do it graphically, find where the line and circle intersect.

We know $y = \frac{3}{4}x$.

Then $x^2 + \frac{9}{16}x^2 = 25$ or $\frac{13}{16}x^2 = 25$.

So $x \approx 5.54, \ y \approx 4.155$