Posted by **Lily** on Friday, May 31, 2013 at 1:39pm.

I'm looking at this graph where I see a line AB with the points (-2,2) and (2,8). Then I have to do the following:

a) Find the length of AB

b) Find the midpoint of AB

c) Write an equation for the line going through AB

I don't understand how to do part a and c, so could somebody help me there? And would the midpoint of AB be (0,4)?

- More math linear equation help? -
**Steve**, Friday, May 31, 2013 at 2:27pm
Think of the two points as lying on the ends of the diagonal of a rectangle (or, the hypotenuse of a right triangle).

So, the length d^2 = 4^2+6^2 = 52

d = 2√13

The midpoint is the average of the endpoints: (0,5)

The slope of the line is constant, and between any two points, is ∆y/∆x

We have two points, so the slope is 4/6 = 2/3

Now we have a slope (2/3) and a point (-2,2). For any other point (x,y) on the line, the slope remains constant, so

(y-2)/(x+2) = 2/3

y-2 = 2/3 (x+2)

You can massage that into any other form you need.

## Answer this Question

## Related Questions

- Math/Algebra - Please help me with this, below is a question I have to answer…...
- Math-due today, need a check - Please help me with this, below is a question I ...
- Geometry HELP!!! - What happens to the graph of the line y = 3x -2 when the ...
- Math - Okay .. Im working on Linear Equations and am VERY confused can someone ...
- math - i have more than one question so if u no any of the answers please tell ...
- Math - The graph of the equation y=4-x consists of all the points in the ...
- math - Given the linear equation , find the y-coordinates of the points (-6...
- math - Given the linear equation y=-3/2x+1, find the y-coordinates of the points...
- math - ahhhhhh...i cant seem to figure out how you graph an equation(linear) a ...
- math math - Given the linear equation y=2/3x+1, find the y-coordinates of the ...

More Related Questions