To determine if two lines are parallel, we need to compare their slopes.
The slope of the line through points P(-7,2) and Q(7,-6) can be found using the slope formula:
m₁ = (y₂ - y₁) / (x₂ - x₁)
m₁ = (-6 - 2) / (7 - (-7))
m₁ = (-8) / (14)
m₁ = -4/7
The slope of the line through points R(14,0) and S(7,4) can be found using the slope formula:
m₂ = (y₂ - y₁) / (x₂ - x₁)
m₂ = (4 - 0) / (7 - 14)
m₂ = 4 / (-7)
m₂ = -4/7
The slopes of both lines are the same, m₁ = m₂ = -4/7. Therefore, the line through points P(-7,2) and Q(7,-6) is parallel to the line through points R(14,0) and S(7,4).
Is the line through points P(-7,2) and Q(7,-6) parallel to the line through points R(14,0) and S(7,4). How do you know?(1 point)
1 answer