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

 

 

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