Question

How do I graph x - 4y < 0

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-4y < 0$

isolate the variable y

$-4y < -x$

Divide by -4 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

$y > \frac{x}{4}$

The solution of the inequality is the shaded area above the dashed line $y=\frac{x}{4}$

The slope of the dashed line is positive m=1/4

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

using a graphing tool

The graph in the attached figure