Question

what are the x and y intercepts 3x-7y=42

Answer 1

The x intercept is the point at which the line meets the x axis, and hence the y co-ordinate is zero. Similarly, the x co-ordinate is zero at the y intercept.

So to find these, simply put y = 0 for the x intercept and x = 0 for the y intercept.

a)

At x intercept,
3x - 7(0) = 42
=> x = 14

b)

At y intercept,
3(0) - 7y = 42
=> y = -6