Question

Help i dont know the answer!

Answer 1

The graph should look like the one below!

Explanation:

Basically the equation is y > -12x + 200

to graph it, start by the y-intercept which is 200 so go up 200 units (if it were to be -200 we would go down 200 units) then the slope which is -12x so it should be 12 units down and 1 unit to the right

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Hope this helps!

Answer 2

Explanation:

When graphing inequalities:

• For < or >, use a dashed line to indicate that points on the boundary line are not included in the solution.
• For ≤ or ≥, use a solid line to indicate that points on the boundary line are part of the solution.
• For < or ≤, shade below the line boundary line.
• For > or ≥, shade above the line boundary line.

The boundary line is a line that separates the solution region from the region that does not satisfy the inequality.

To graph the inequality y > -12x + 200, we need to graph the boundary line y = -12x + 200.

Substitute any two values of x into the boundary line equation to find two points on the line:

`\begin{aligned}x=0 \implies y&=-12(0)+200\\y&=0+200\\y&=200\end{aligned}`

`\begin{aligned}x=1 \implies y&=-12(1)+200\\y&=-12+200\\y&=188\end{aligned}`

Plots points (0, 200) and (1, 188) on a coordinate plane.

As the inequality sign is ">", draw a dashed straight line through the plotted points to represent the boundary line, and shade the region above the dashed line to indicate the solution to the inequality.