Question

Please help me fast! I will give brainliest, if you show your work, and it is the right answer.

Answer 1

You are given trapezoid WXYZ with two parallel sides WZ || XY.

Consider all options:

1. Line WZ has the same slope as line XY. This option is true, because parallel lines have the same slope.

2. Line YX has a greater slope than line ZY. Note that line XY has negative slope and line ZY has positive slope. Then the slope of line ZY is greater than the slope of line YX. This option is false.

3. Line XW has a lesser slope than line YZ. Both lines XW and YZ have positive slopes and line YZ is going up faster than line XW. This means that its slope is greater. Thus, this option is correct.

4. Line ZW has the same y-intercept as line WZ. Note that lines ZW and WZ are exactly the same line, therefore, the y-intercept is the same. This option is true.

5. Line XY has a greater y-intercept than line XW. Line XY has y-intercept at y=3 and line WX has its y-intercept somewhere about y=2. Then this option is true.

Answer: correct options are 1, 3, 4 and 5.