Aparallelogram has vertices (-3,4) (4,4)(2,-1) (-5,-1) on the coordinate plan what’s the area

Area of this parallelogram: 35.

Step-by-step explanation:

What's the equation for the area A of a parallelogram?

A = b · h,

where

Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.

The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base b is h = 4 - (-1) = 5.

Area of this parallelogram:

A = b · h = 5 × 7 = 35.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c