Fill in the t-table below for the equation. Then graph the line on the grid by selecting two of the points from your table.
3x+4y=-16
x y
−4
0
4
I have solved the TABLE manually.
Thank you
To fill in the t-table for the equation 3x + 4y = -16, we can substitute the given x values into the equation and solve for y.
For x = -4:
3(-4) + 4y = -16
-12 + 4y = -16
4y = -4
y = -1
For x = 0:
3(0) + 4y = -16
0 + 4y = -16
4y = -16
y = -4
For x = 4:
3(4) + 4y = -16
12 + 4y = -16
4y = -28
y = -7
Filling in the values in the t-table, we have:
x y
−4 -1
0 -4
4 -7
Now, to graph the line, we will choose any two points from the table and plot them on the grid.
Let's choose the points (-4, -1) and (4, -7) from the table.
On the grid, plot the point (-4, -1) by marking a dot on the x-axis at -4 and on the y-axis at -1.
Next, plot the point (4, -7) by marking a dot on the x-axis at 4 and on the y-axis at -7.
Finally, draw a straight line connecting these two points. This line represents the graph of the equation 3x + 4y = -16.
To fill in the t-table for the equation 3x + 4y = -16, we need to substitute each x value into the equation to find the corresponding y value.
Let's start with the x-value of -4:
3(-4) + 4y = -16
-12 + 4y = -16
4y = -16 + 12
4y = -4
y = -4/4
y = -1
So, for x = -4, y = -1.
Now, let's move on to the x-value of 0:
3(0) + 4y = -16
0 + 4y = -16
4y = -16
y = -16/4
y = -4
For the x-value of 0, y = -4.
Finally, let's calculate the y-value when x = 4:
3(4) + 4y = -16
12 + 4y = -16
4y = -16 - 12
4y = -28
y = -28/4
y = -7
Therefore, for x = 4, y = -7.
Now that we have filled in the t-table, let's select two points from the table to graph the line on the grid. Let's choose the points (-4, -1) and (0, -4).
On the grid, plot the point (-4, -1) with x = -4 and y = -1. Then plot the point (0, -4) with x = 0 and y = -4.
Once you have plotted these two points, you can draw a straight line passing through them. This line represents the graph of the equation 3x + 4y = -16.
well, did you fill in the table?
when x=0, you have 4y = -16
and so on