Question

Find the x- and y-intercepts of the graph of

10x+y=13 State each answer as an integer or an improper fraction in simplest form.

Answer 1

To find the x-intercept, set y to 0 and solve for x:

10x(0) = 13
This gives us 0=13. This equation has no solution; therefore, the graph of this equation does not intersect the x-axis.

To find the y-intercept, set x to 0 and solve for y:

10(0)y = 13
Again, this gives us 0=13. This equation also has no solution; so the graph of this equation does not intersect the y-axis either.

So there are no x- or y-intercepts for this graph.