5) Make a table of values and graph y 3x 5

The table of values and graph for the equation y = 3x - 5 shows a linear relationship with a positive slope of 3, and the y-intercept is -5.

To create the table of values, we will substitute the given x-values into the equation y = 3x - 5 and calculate the corresponding y-values.

x y

-2 -11

-1 -8

0 -5

1 -2

2 1

For instance, when x is -2,

=> y = (3 * -2) - 5 = -6 - 5 = -11.

Similarly, for

=> x = -1, y = (3 * -1) - 5 = -3 - 5 = -8,

=> x = 1, y = (3 * 1) - 5 = 3 - 5 = -2,

and so on.

Now, let's plot these points on a graph. On the horizontal axis (x-axis), we will mark the x-values, and on the vertical axis (y-axis), we will mark the corresponding y-values. After plotting all five points, we will join them to form a straight line.

The graph will show a line slanting upwards from left to right. This is typical of a positive slope, which indicates that as x increases, y also increases. The slope of the line is 3, which means that for every unit increase in x, y increases by 3 units. The line intersects the y-axis at -5, which is the y-intercept. It means that when x is 0, y is -5.

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