Graph a linear inequality in standard form

👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequality is 'excluded' (when less than or greater than is used) and a solid line is used when the inequality is 'included' (when greater than or equal to OR less than or equal to is used).

To graph a linear inequality written in standard form, we first determine the slope and the y-intercept by rewriting the linear inequality in slope intercept form, we then plot the y-intercept and using the slope, we can determine the rise and the run of the required line and then be able to plot the next point from the y-intercept. We then draw a straight line passing through the two plotted points.

Alternatively, we can determine the x-intercept and the y-intercept of the standard form linear inequality by substituting y = 0, then solve for x and substituting x = 0, then solve for y respectively. Recall that the x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0. After obtaining the values of the x-intercept and the y-intercept, we plot the points on the coordinate plane and then draw a line passing through the points.

After the line representing the linear equation form of the linear inequality is drawn, we select a point either side of the line to determine which side of the line is true for the given inequality and then shade the side that satisfies the inequality.

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Organized Videos:
✅Graph Linear Inequalities in Two Variables
   • Graph Linear Inequalities in Two Vari...  
✅Graph Linear Inequalities in Two Variables | Learn About
   • Graph Linear Inequalities in Two Vari...  
✅Graph Linear Inequalities | Slope Intercept Form
   • Graph Linear Inequalities | Slope Int...  
✅Graph Linear Inequalities | Standard Form
   • Graph Linear Inequalities | Standard ...  
✅Graph Linear Inequalities | Horizontal and Vertical
   • Graph Linear Inequalities | Horizonta...  

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