Explanation:
the x-intercept is the point, where y = 0.
the y-intercept is the point, where x = 0.
6x + 7y = 10
transform into regular form
y = ax + b
7y = -6x + 10
y = -(6/7)x + 10/7
x-intercept :
0 = -(6/7)x + 10/7
0 = 6x - 10
6x = 10
x = 10/6 = 5/3
so, the x- intercept point is (5/3, 0).
y-intercept :
y = -(6/7)×0 + 10/7 = 10/7
so, the y-intercept point is (0, 10/7).