Question

Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.

Answer 1

Answer:

$y \leqslant -x + 1$

Step-by-step explanation:

First write the equation of the line with either inequality sign, like so:

$y \geqslant -x + 1$

Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:

$0 \geqslant -0 + 1 \\ 0 \geqslant 1$

Since 0 > 1 is false, you know that the correct inequality must be:

$y \leqslant -x + 1$

If you want to check this, plug the coordinates (0,0) into the equation:

$0 \leqslant -0 + 1 \\ 0 \leqslant 1$

Since 0 < 1 is true, you know this equation is correct.

I hope that helped! If I made a mistake, just let me know.