To correct this problem you need to first figure out the slope using the point slope formula: Y1 - Y2 / X1- X2 you should get 10/5 which would simplify to two. the final equation will be y = 2x + 9.
The mistake this student made was not to check the point in both equations. you can fix this problem by using either the elimination or substitute method.
In the first graph the shading is correct but the line should be dotted instead of solid because the graph is not an or equal to inequality. The second graph's line is correct but the shading is not, to correct the student should shade above the line, not below.
The first graph's line needs to be dotted and in the second graph the shading needs to be below the graph.
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