Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line

Three true statements about the lines are;

1) Line SW has an undefined slope

2) Line TV has a slope of 0

3) Lines RS and TV are parallel

Step-by-step explanation:

The coordinates of the points the three lines go through are;

The points line RS go through = (-8, 6) and (2, 6)

The points line TV go through = (-6, -4) and (8, -4)

The points line SW go through = (2, 6) and (2, -8)

The slope of a line with points (x₁, y₁) and (x₂, y₂) is given by the following equation;

The slope of line RS = (6 - 6)/(2 - (-8)) = 0

The slope of line SW = (-8 - 6)/(2 - 2) = -14/0 = ∞ (undefined)

Therefore, line SW has an undefined slope

The slope of line TV = (-4 - (-4))/(8 - (-6)) = 0/14 = 0

Therefore, line TV has a slope of 0

Line RS and line TV have the same sloe (0) and are therefore parallel

Therefore, lines RS and TV are parallel.