Question

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3). Which statements are true about the lines? Select three options. Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY. Line XW has a lesser slope than line YZ. Line ZW has the same y-intercept as line YZ. Line XY has a lesser y-intercept than line XW.

Answer 1

Given:

1. Line XW is drawn with point W at (- 4, 1) and passes through (0, 2)
2. Line YX is drawn with point Y at (3, 0) and passes through (0, 3)
3. Line ZW is drawn with point Z at (0, - 3) and point W at (- 4, 1)
4. Line ZY is drawn with point Y at (3, 0) and point Z at (0, - 3)

To find:

The correct optons out of -

1. Line WZ has the same slope as line XY.
2. Line YX has a greater slope than line ZY.
3. Line XW has a lesser slope than line YZ.
4. Line ZW has the same y-intercept as line YZ.
5. Line XY has a lesser y-intercept than line XW.

Answer:

The equation of a straight line with coordinates (x1,y1), (x2,y2) is -

$y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1)$   -(1)

where the slope is [y2 - y1/ (x2 - x1)]

Thus from equation (1), the equations of the lines are -

• XW - y - 1 = (1/2) (x +4)
• XY - y = -1 (x - 3)
• ZW - y + 3 = -1 (x)
• ZY - y = 1 (x - 3)

Thus, the correct options are -

Line WZ has the same slope as line XY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line YZ.

Line XY has a lesser y-intercept than line XW

Answer 2

Answer:

It's 1,3,4 on edg.

Step-by-step explanation:

Mark brainliest please.