How do you graph a linear inequality?
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How do you graph a linear inequality?
There are three steps:
- Rearrange the equation so “y” is on the left and everything else on the right.
- Plot the “y=” line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- 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
- Step 1: Always start by isolating the variable y on the left side of the inequality.
- Step 2: Change the inequality to equality symbol.
- Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane.
- 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
- Plug x = 0 into the equation and solve for y.
- Plot the point (0,y) on the y-axis.
- Plug y = 0 into the equation and solve for x.
- Plot the point (x,0) on the x-axis.
- 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
- Graph the first equation.
- Graph the second equation on the same rectangular coordinate system.
- Determine whether the lines intersect, are parallel, or are the same line.
- Identify the solution to the system.
- 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 ≥.