Question

How do you graph `y> -1/3x+5`?

Answer 1

Refer to the explanation for the process.

Explanation:

Graph:

`y> -1/3x+5`

Determine the x- and y-intercepts.

X-Intercept

The value of `x` when `y=0`.

`0> -1/3x+5`

Add `1/3x` to both sides.

`1/3x>5`

Divide both sides by `1/3`.

`x>5xx3/1`

Simplify.

`x>15`

Point: `(15,0)`

Y-Intercept

The value of `y` when `x=0`.

`y> -1/3(0)+5`

`y>5`

Point: `(0,5)`

Plot the points and draw a dashed straight line through the points to indicate that the line is the boundary of the inequality but not part of it. Then shade in the area above the line to indicate the inequality.

graph{y> -1/3x+5 [-13.31, 18.72, -5.4, 10.62]}