How do you determine the intercepts from an equation or graph?

From a graph :
the x intercept is where the line crosses the x axis. and the y intercept is where the line crosses the y axis.

from an equation :
Lets say ur equation is 2x + 5y = 10to find the x axis, u need to sub in 0 for y and solve for x.
2x + 5(0) = 10
2x = 10
x = 5so the x axis would be (5,0)
to find the y axis, sub in 0 for x and solve for y.
2(0) + 5y = 10
5y = 10
y = 2so ur y intercept is (0,2)