Answer:
(0,2) & (3,0)
Step-by-step explanation:
Given the equation [tex]2x+3y=6[/tex]:
Step 1:
To find the y-intercept, you want to set the x value to zero. This will allow you to solve for y, and find where the equation intercepts why on the 0 line:
[tex]2(0)+3y=6 \\ 0+3y=6\\ 3y=6\\ y=\frac{6}{3} \\ y = 2[/tex]
So, at x=0, y=2. or (0,2)
Step 2:
Set y = 0 and solve for x:
[tex]2x+3(0)=6\\ 2x+0=6\\ 2x=6\\ x=\frac{6}{2}\\ x=3[/tex]
so at y=0, x=3. which is the same as saying: when x=3, y=0, or (3,0)
