There are a couple ways to determine the equation of a line without graphing. How to proceed depends on what you know about the line.
Do you know a point, (x1, y1), and slope, m? Then use the point-slope formula,
Do you know two points on the line, say (x1, y1) and (x2, y2)? Then use the two-point formula,
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By substitution
If you have an equation that looks like y=mx+b then the m is the slope. If you have two points then you use the formula Y2-Y1/X2-X1
The line that includes whatever variables are included in the equation.
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it