How do you graph a linear inequality?

How do you graph a linear inequality?

There are three steps:

1. Rearrange the equation so “y” is on the left and everything else on the right.
2. Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3. Shade above the line for a “greater than” (y> or y≥) or below the line for a “less than” (y< or y≤).

What are the 4 steps in graphing linear inequalities?

Steps on Graphing Linear Inequalities

1. Step 1: Always start by isolating the variable y on the left side of the inequality.
2. Step 2: Change the inequality to equality symbol.
3. Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane.
4. Step 4: The last step is to shade one side or region of the boundary line.

How do you graph linear equations?

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

What are the steps to graphing a linear equation?

Graphing a Linear Equation

1. Plug x = 0 into the equation and solve for y.
2. Plot the point (0,y) on the y-axis.
3. Plug y = 0 into the equation and solve for x.
4. Plot the point (x,0) on the x-axis.
5. Draw a straight line between the two points.

How do I graph a linear equation?

How do you solve linear equations by graphing?

To solve a system of linear equations by graphing

1. Graph the first equation.
2. Graph the second equation on the same rectangular coordinate system.
3. Determine whether the lines intersect, are parallel, or are the same line.
4. Identify the solution to the system.
5. Check the solution in both equations.

How do you find the solution to an inequality from a graph?

When inequalities are graphed on a coordinate plane, the solutions are located in a region of the coordinate plane, which is represented as a shaded area on the plane. The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥.