Question - Graphing a Linear Equation
Solution:
To solve the equation and complete the ordered pairs, you need to plug the x-values from each ordered pair into the equation y = -x/5 + 2 and solve for y.The equation is linear, which means you will be graphing a straight line. You only need two points to define a straight line, but let's find the y-values for all the given x-values:1. For the ordered pair (-5, _), plug in x = -5:y = -(-5)/5 + 2y = 5/5 + 2y = 1 + 2y = 3So, the complete ordered pair is (-5, 3).2. For the ordered pair (0, _), plug in x = 0:y = -(0)/5 + 2y = 0 + 2y = 2So, the complete ordered pair is (0, 2).3. For the ordered pair (5, _), plug in x = 5:y = -(5)/5 + 2y = -1 + 2y = 1So, the complete ordered pair is (5, 1).To graph these points, you just need to put these coordinates on a graph and draw a straight line through them.Using (-5, 3) and (5, 1), you can draw the graph as follows:- Plot the point (-5, 3) on the graph.- Plot the point (5, 1) on the graph.- Draw a straight line that passes through both points, extending it on both ends.This line is the graphical representation of the solution set for the equation y = -x/5 + 2.
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