<em><u>Solution:</u></em>
Given that,
We have to find the rate of change between (-3,6) (0,-3)
<em><u>The rate of change is given as:</u></em>
From given,
<em><u>Substituting the values we get,</u></em>
Thus rate of change is -3
To construct the equations for these lines, we are going to use the point-slope formula, which is:
1)
In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)
Thus, we can "plug in" what we know into our formula to find the equation of our line:
2)
We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.
Our equations are:
1) y = 5x - 11
2) y = 9x - 5