Question

two sides of a parallelogram are represented by the equations y =2x+1 and y=-x+3. give two equations that can represent the two sides.

Answer 1

To represent two sides of a parallelogram given by the equations y = 2x + 1 and y = -x + 3, two equations that can represent the sides are y = 2x + 2 and y = -x + 2.

Step-by-step explanation:

To represent two sides of a parallelogram given by the equations y = 2x + 1 and y = -x + 3, we need to find two lines that have the same slope as these equations. The slope of the first equation is 2, so any line that has a slope of 2 will represent the first side. Similarly, the slope of the second equation is -1, so any line with a slope of -1 will represent the second side.

Two equations that can represent the two sides are y = 2x + 2 and y = -x + 2. These equations have the same slopes as the given equations, but the y-intercepts are adjusted to make sure the lines represent the correct sides of the parallelogram.

Answer 2

A parallelogram, by definition is a quadrilateral that has two sides that are parallel. From the statement above, given that the two sides are represented by the equations y = 2x+1 and  y = -x +3, then the two equations that can represent the two sides are the same - or as is. That would be y = 2x+ 1 and  y = -x+ 3