For finding x intercept of a curve, we put y=0 in its equation and solve for x. Similarly for finding the y intercept, we put x=0 in its equation and solve for y.
The given equation is y= 5x-6. For x intercept, we put x=0 and get 5x-6=0. This gives x=6/5
For y intercept, we put x=0 and get y=-6.
On a graph, these intercept would look like this
*****