Make a table of ordered pairs for the equation.

Question

y=−13x+4



Then plot two points to graph the equation.

Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).

Answer 1

To create a table of ordered pairs for the equation $y=-13x+4$, we can select a few values for $x$ and calculate the corresponding $y$ values.

Here’s how it looks:

| $x$ | $y=-13x+4$ | |-------|-------------------| | -2 | $y=-13(-2)+4=26+4=30$ | | -1 | $y=-13(-1)+4=13+4=17$ | | 0 | $y=-13(0)+4=0+4=4$ | | 1 | $y=-13(1)+4=-13+4=-9$ | | 2 | $y=-13(2)+4=-26+4=-22$ |

Now we have the following ordered pairs:

• For $x=-2$, $y=30$ → (-2, 30)
• For $x=-1$, $y=17$ → (-1, 17)
• For $x=0$, $y=4$ → (0, 4)
• For $x=1$, $y=-9$ → (1, -9)
• For $x=2$, $y=-22$ → (2, -22)

Selected Points for Graphing

Let's select two points for plotting:

• $(-1,17)$
• $(0,4)$

Plotting the Points

1. Point (-1, 17): Move 1 unit to the left on the x-axis and 17 units up on the y-axis.
2. Point (0, 4): This point is at the origin where x is 0 and y is 4.

Graph Plotting

When you graph these points, ensure that the horizontal axis goes from -10.8 to 10.8 and the vertical axis goes from -10.8 to 10.8, appropriately marking the scale. After plotting these two points, you can draw a line through them to represent the equation $y=-13x+4$.

Graph Line

Since this is a linear equation, you can further extend the line in both directions to complete the graph. The slope indicates that for every 1 unit increase in $x$, $y$ decreases by 13 units. Therefore, the line will be steeply downward sloping due to the negative slope of -13.