Given equation: 4x-7y=10
x-intercept can be obtained by putting y=0 (i.e. the x-axis) and solving for x.
4x-7(0)=10 => x=2.5, so x-intercept is (2.5,0).
Similarly, y-intercept is obtained by setting x=0 (i.e. the y-axis) and solving for y.
4(0)-7y)=10 => y=-10/7, so y-intercept is (0,-10/7)