Question

How do you graph `y>2x+7`?

Answer 1

See explanation

Explanation:

Plot the line `y=2x+y` but use a dotted line signifying that `y` may not actually tale on the value of `2x+7`
Colour (English spelling) or shade the area above the graph. This is standard practice indicating that it represents all the possible value of `y` for any one given value of `x` that are greater than `2x+7` for that `x` value.

Put a title on the graph and label your axis. `color(red)(larr" Important")`

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To determine the x-intercept set `y` as 0 using `y=2x+7`

`0=2x+7`

Subtract 7 from both sides

`2x=-7`

Divide both sides by 2

`x=-7/2" at "y=0 ->(x,y)=(-7/2,0)`

To determine the y-intercept set `x` as 0 using `y=2x+7`

`y=+7" at "x=0->(x,y)=(0,7)`