Answer:
To complete the table for the function:
y = 3*x - 1
We just need to replace the values of x, and that will give use the correspondent value of y.
when x = -2, we have:
y = 3*(-2) - 1 = -6 - 1 = -7
when x = 0, we have:
y = 3*(0) - 1 = -1
when x = 1 we have:
y = 3*(1) -1 = 3 - 1 = 2
when x = 3 we have:
y = 3*(3) - 1 = 9 - 1 = 8
Then the table is:
x -2 -1 0 1 2 3
y -7 -4 -1 2 5 8
Now, to graph the line, we just need to find those points in the grid, and then draw a line that passes through all of them, the line will be something like the one in the image below.
Now, to estimate the value of y when x = 2.5
We first need to locate x = 2.5 in the horizontal grid, now let's do a vertical line upwards. When this vertical line touches the line of the graph, we see which value of y (the vertical axis) corresponds with that.
In this case, when x = 2.5, y = 6.5
