Answer:
x-intercept: (3, 0)
y-intercept: (0, 2)
Explanation:
For a function like:
y = f(x)
The x-intercept is the value of x when y = 0
the y-intercept is the value of y when x = 0
Also remember that an ordered pair is written as (x, y).
In this case we have the equation:
2*x + 3*y = 6
For the x-intercept, we just replace y by zero in the equation, then we get:
2*x + 3*0 = 6
Solving this for x, we get:
2*x = 6
x = 6/2 = 3
Then in this case, the ordered pair for the x-intercept is (3, 0)
For the y-intercept, we just need to replace x by zero in the equation:
2*0 + 3*y = 6
Solving this for y, we get:
3*y = 6
y = 6/3 = 2
Then the ordered pair for the y-intercept is (0, 2)