Home > Algebra > Linear Inequalities in Two Variables

How do you graph #y>= -3x+4#?

Answer 1

Savannah Anderson

See the explanation below.

Graph:

#y>=-3x+4#

Determine several points on the line by choosing values for #x# and solving for #y#.

Example:

#"Points"#

#x=1,##y=1#

#x=0,##y=4#

#x=-1,##y=7#

Plot your points on a graph and draw a solid straight line through the points. Since the inequality is #>#, shade the area above the line. graph{y>=-3x+4 [-16.22, 15.8, -6.54, 9.48]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To graph (y \geq -3x + 4), you start by graphing the boundary line (y = -3x + 4). Since the inequality is inclusive of the line, you draw it as a solid line. Then, you shade the region above the line to represent (y \geq -3x + 4).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you graph #y&gt;= -3x+4#?

How do you graph #y>= -3x+4#?