Question

How do you graph `-3x+5y< -25`?

Answer 1

Graph:

`-3x+5y<-25`

Find the x and y-intercepts by setting `x=0` and `y=0`.

X-intercept

`y=0`

`-3x+5(0)<-25`

`-3x<-25`

Divide both sides by `-3`.

`x<25/3`

`x<8 1/3`

x-intercept: `(25/3,0)` or `(8 1/3,0)`

Y-intercept

`x=0`

`-3(0)+5y<-25`

`5y<-25`

Divide both sides by `5`.

`y=-5`

y-intercept: `(0,-5)`

You now have two points on the line. Plot the points and draw a dashed line through them to indicate that the line is not part of the inequality. Shade in the area below the line to indicate the inequality.

graph{-3x+5y<-25 [-16.02, 16.01, -8.01, 8.01]}