Graphing an inequality is when you shade in the graph based on whether your point that you chose(usually (0, 0)) is true or false when put back in the original equation.
Graphing an equation of a line is just a line on the graph.
For a solid line: the inequality should be greater then or equal to or less then or equal to.
For a dashed line: the inequality should just be greater then or less than.
The mistake they made was they switched the slope and y-intercept.
The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.
