If the slope of a straight line is 6 and if y (the variable on the vertical axis) decreases by 60, then x (the variable on the horizontal axis): ) decreases by 600.b) increases by 10.c) increases by 600.d) decreases by 10.

So then the correct answer on this case would be:

D) decreases by 10.

Explanation:

For this case we assume that we have a linear model given by this expression:

Where m is the slope on this case m=6 and b the intercept.

So our model is given by:

We want to see that if we decrease the value of y on 60 units what would be the change on the x axis.

Let's assume that we have two points and

If we find the differences between those points we got:

And we can rewrite this like that:

And if we know that then we can solve like this:

So then the correct answer on this case would be:

D) decreases by 10.

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