Question

Graph the inequality on a coordinate plane.

-y ≤ 3x - 5

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Answer 1

First try to simplify the inequality by solving for y. What do you get for the slope and the y-intercept?

Answer 2

i don't know help?

Answer 3

First, you'd divide both sides of the equation by -1. This would give you \[y \le -3x + 5\]
Now you know that the slope is -3, and the y-intercept is 5. This means that the line has to cross the y-axis at (0,5), and it has to go down by 3 every time in moves 1 unit to the right.
Here's a trick: put a 1 under the slope, and you'll get -3/1. This means that, from the y-intercept, you need to go down by 3 and over by 1 (numerator indicates vertical movement, denominator indicates horizontal movement).
Now that we know how the line looks, we need to know which way to shade. To do this, we need to choose a coordinate. Let's choose (0,0). Plug (0,0) into the equation above.
\[0 \le -3(0) + 5\]
When you solve that, you'd get
\[0 \le 5\]
which is true. Therefore, we need to shade towards (0,0).

Knowing all this, what would be the correct answer?