Questions: Graph y=-2x+3, using a table of values. (Use values other than 0 and 1 as a value for x)

Graph \(y=-2 x+3\) using a table of values. (Use values other than 0 and 1 as a value for \(x\))

Create a table of values

Let's choose \(x = -1, 2, 3\)

| x | y | |---|---| | -1 | \(y = -2(-1) + 3 = 2 + 3 = 5\) | | 2 | \(y = -2(2) + 3 = -4 + 3 = -1\) | | 3 | \(y = -2(3) + 3 = -6 + 3 = -3\) |

Plot the points

Plot the points \((-1, 5)\), \((2, -1)\), and \((3, -3)\) on the coordinate plane.

Draw the line

Draw a straight line through the plotted points.

\( \boxed{\text{The graph of } y = -2x + 3 \text{ is a straight line passing through the points } (-1, 5), (2, -1), \text{ and } (3, -3).} \)

\(\boxed{\text{The graph of } y = -2x + 3 \text{ is a straight line passing through the points } (-1, 5), (2, -1), \text{ and } (3, -3).}\)