If y=x-6 were change to y=x-8 how would the graph of the new function compare with the first one ?

-  The lines of both functions have the same slope.

- The line of the first function intercepts the y-axis at the point (0,-6) and the  line of the new function intercepts the y-axis at the point (0,-8).

- The new graph is the graph of the first function but shifted 2 units down.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function in the form , you can identify that:

And from the new function in the form  , you can identify that:

This means that the lines of both functions have the same slope, but the line of the first function   intercepts the y-axis at the point (0,-6) and the  line of the new function   intercepts the y-axis at the point (0,-8).

Therefore, the graph of the new function is 2 units below of the function , or, in other words, the new graph is the graph of the first function but shifted 2 units down.

-50/3 is the final answer! : )