Problem

Graph the following equation by plotting three points and connecting them. Use a table of values to organize the ordered pairs. \[ y=-x-5 \] Use the graphing tool to graph the line using two points. Click to enlarge graph

Solution

Step 1 :Given the equation \(y = -x - 5\)

Step 2 :Choose three values for x, for example, -2, 0, and 2

Step 3 :Substitute these x values into the equation to find the corresponding y values. For \(x = -2\), \(y = -(-2) - 5 = -3\). For \(x = 0\), \(y = -(0) - 5 = -5\). For \(x = 2\), \(y = -(2) - 5 = -7\)

Step 4 :Plot these points on the graph, which are (-2, -3), (0, -5), and (2, -7)

Step 5 :Draw a line through these points to represent the equation

Step 6 :\(\boxed{\text{The graph of the equation } y = -x - 5 \text{ is a straight line that passes through the points } (-2, -3), (0, -5), \text{ and } (2, -7)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/2whCP4JdZX/

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