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There is one simple way to find the answer to this.

The x-intercept occurs when y = 0 as this is the equation of the x-axis. Along the x-axis, the value of the y is always zero.

There fore you can take the value y = 0, substitute into the equation and then solve for x.

e.g.

5x - 4 x 0 = 18

5x = 18

x = 3.6

Hence the x-intercept is when y = 0 and x = 3.6

This method also translates to how to find the y-intercept. The only difference is that you substitute x = 0 into the equation.

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