2. M is the midpoint of AB. N is the midpoint of AM. Find the coordinates of point M and point B. Y B N(-10.5, 3.25) A(-20, 1) M
3. Write the following recurring decimals in dot notation Answer: M (........., B (........., .) [1m] .) [1m] 2. M is the midpoint of AB . N is the midpoint of AM . Find the coordinates of point M and point B. Y B N ( -10.5 , 3.25 ) A ( -20 , 1 ) M 3. Write the following recurring decimals in dot notation Answer : M ( ......... , B ( ......... , . ) [ 1m ] . ) [ 1m ]
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So we are given an initial equation of: .
We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially , we are going to flip it to make it
and change the sign to make it
.
So now we know that the slope of the perpendicular line is , we can start a new equation for this line:
We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:
Then solve for b:
So then we plug in our value for b and leave x and y:
So this equation now represents the new path.
