\[ \begin{array}{l}\text { A coordinate plane with a straight solid line, increasing from } \\ \text { left to right, passing through the } x \text {-axis at } x=-0.5 \text {, the } y \text {-axis at } \\ y=1 \text {, and the ordered pairs, }(-1,-1) \text { and }(1,3) \text {, with everything } \\ \text { to its left shaded. }\end{array} \] Which statement about Colton's graph is TRUE? Colton graphed the slope incorrectly. Colton should have made the boundary line dashed instead of solid. Colton should have shaded below the boundary line. Colton graphed the inequality correctly.
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Mind Expander
Colton's graph represents a linear inequality where the solid line indicates that the solutions on the line are included in the graph. Since the line increases from left to right and passes through the given points, Colton has effectively represented the inequality correctly. Thus, Colton graphed the inequality correctly! However, if the shading is to the left of the line, that would imply that all the points satisfying the inequality are on one side, and given the positive slope and intercept, the correct shading should be above the line, not to the left. In this case, the statement that Colton should have shaded below the boundary line is indeed false, making the conclusion about shading crucial in understanding the graph's intent!