Without an equality sign the expression given can't be considered to be an equation.
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If you mean y = 4x+2 then it is the linear equation of a straight line
An equation that has no solution is called an equation that has no solution.
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At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.