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The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>).
If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.
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What kind of line do you use to graph an inequality?
A dashed/dotted line if it is > or <. Otherwise use a regular line. Also shading is required.
Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?
An equation has an equal sign, which means that we know what the variable is equal to :)
What does a dashed line represent on a graph?
It can represent the graph of a strict inequality where the inequality is satisfied by the area on one side of the dashed line and not on the other. Points on the line do not satisfy the inequality.
An equation where the graph of all solutions lies on a line?
If it is a straight line, then the equation is linear.
A linear equation is an equation whose graph is a straight line?
yes
