Answer:
5x+3y=15
Step-by-step explanation:
We are given two coordinates (3,0) (0,5)
Start by finding slope
y2-y1/x2-x1= 5-0/0-3= -5/3 this is your slope m.
y=mx+c
y= -5/3x+c (but remember standard line is ax+by=c) so we have to switch sides
5/3x + y=5 (remember standard form has no fraction so multiply by 3 on all sides)
5x+3y=15
So there are two ways.
First you could solve for y and plug it into the calculator. one equation for y1 and another for y2. Then go 2nd trace and press 5 and then press enter 3 times to find the intersection.
the second way is to solve by hand. I would suggest solve the first equation for y and plug the equation solved for y into the other equation. so y = -3x + 9 and 3x-5y=15. Then you could do 3x - 5(-3x+9) = 15. Finally solve for x and plug in x into both equations to see if you get the same y value.
The answer should be (10/3, -1)
Negative counterpart
5 + -5 = 0
