equations to form paralleogram?

Start with any old line:

y = 2x + 4

then you want a parallel line,

so it too will have slope of 2:

y = 2x + 7

Then you want lines with different slopes.

Negatives might be a good idea ... how about -4 ?

To make things simple, use the same y-intercepts.

y = -4x + 4

and one more with the same slope

y = -4x + 7

There ya go!

The corners of the parallelogram are at

.... (0, 7)

. . ./ . . \

. . / . . . .\

(-1/2, 6) . \

.. \ . . . . . (1/2 , 5)

. ..\ . . . . ./

. . .\ . . . /

.... (0, 4)

For the triangle, use the top half of the parallelogram.

y = 2x + 7 and y = -4x + 7

and

the line from (-1/2, 6) to (1/2, 5)

Slope = (5 - 6) / (1/2 - (-1/2) = -1 / 1 = -1

y = -x + b

6 = 1/2 + b

b = 5.5

The equation is

y = -x + 5.5

feel the equation, be the equation -Gandalf 2015