Graphing a Linear Equation: SMART Board Resource for Geometry (Grades 6-12) (eLesson Plan)
Before graphing linear equations, make sure you understand the concepts of graphing slope since it is very similar.The standard form of a linear equation is y = mx + b; m is the slope and b is the y-intercept (the y-intercept is a point on the y-axis)...
Graph Horizontal Lines The graph of an equation of the form y = b is a horizontal line, whose y-intercept is (0,b) Example: y = -2 (0,-2) Means x = 0 y x (0,0) (0,-2) Graph Vertical Lines y x The graph of an equation of the form x = a is a vertical line, whose...
This is a graph of a linear inequality:The inequality y ≤ x + 2We can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2Linear Inequality A Linear Inequality is like a Linear Equation (such as y = 2x+1) ... ... but it will have ...
Learn the graphing of linear equations in two variables here with examples. Get the step by step procedure to represents the equation in the coordinate plane.
Graph the linear equationy=2x+3y=2x+3. Show Solution Try It Ordered Pairs as Solutions So far, you have considered the following ideas about lines: a line is a visual representation of a linear equation, and the line itself is made up of an infinite number of points (or ordered...
3.1– Graphing Linear Equations Linear equation – its graph is a straight line IDENTIFYING LINEAR EQUATIONS Ex.1 Determine whether each equation is a linear equation. If so, write the equation in standard form. *Standard Form: Ax + By = C a. y = 5 – 2x +2x +2x 2x + y = 5 ...
This is the standard form of our original equation. Since our original equation can be written in standard form, we know it is a linear equation (if an equation cannot be written in standard form, it is not linear). Now let’s plot the graph of the equation by finding our intercepts....
Graph a Line Using the InterceptsTo graph a linear equation by plotting points, you can use the intercepts as two of your three points. Find the two intercepts, and then a third point to ensure accuracy, and draw the line. This method is often the quickest way to graph a line....
Finally, let's graph the points of intersection by mapping the x-values of intersections to the value of the two functions that occur in the equation that was used to obtain that x-value. Since equations are symmetric (meaning that a = b ⟺ b = a), we can pick any two of the fu...