Answer:
x-intercept: (2,0)
y-intercept: (0,6)
Explanation:
The x-intercept is when y = 0.
The y-intercept is when x = 0.
Each intercept can be solved with substitution in the standard form equation.
Given the standard form equation is
6x + 2y = 12
x-intercept:
given y = 0
6x + 2(0) = 12 →
6x = 12 →
6x / 6 = 12 / 6 →
x = 2 →
(2, 0)
y-intercept:
given x = 0
6(0) + 2y = 12 →
2y = 12 →
2y / 2 = 12 / 2 →
y = 6 →
(0, 6)