The slope of a line perpendicular to the line passing through the points P(3, –4) and Q(1, –8) is: 1. 2. 2 3. 4. –2

Question

KnowledgeBoat · Accepted Answer

Slope of the line passing through P(3, –4) and Q(1, –8). Since the required line is perpendicular to line PQ, the product of their slopes must be -1. Let slope of required line be m. ⇒ mPQ × m = -1 ⇒ 2 × m = -1 ⇒ m = Hence, option 1 is the correct option.

Mathematics

The slope of a line perpendicular to the line passing through the points P(3, –4) and Q(1, –8) is: 1. 2. 2 3. 4. –2

Straight Line Eq

Related Questions

Two non-vertical lines with slopes m₁ and m₂ are perpendicular to each other, if:
m₁.m₂ = 1
m₁.m₂ = –1
m₁ = –m₂
m₁ = m₂

The slope of a line parallel to the line passing through the points A(3, –7) and B(5, –7) is:
2
1
–1
0

Mathematics

The slope of a line perpendicular to the line passing through the points P(3, –4) and Q(1, –8) is: 1. 2. 2 3. 4. –2

Straight Line Eq

Related Questions

Two non-vertical lines with slopes m1 and m2 are perpendicular to each other, if:m1.m2 = 1m1.m2 = –1m1 = –m2m1 = m2

The slope of a line parallel to the line passing through the points A(3, –7) and B(5, –7) is:21–10

Two non-vertical lines with slopes m₁ and m₂ are perpendicular to each other, if:
m₁.m₂ = 1
m₁.m₂ = –1
m₁ = –m₂
m₁ = m₂

The slope of a line parallel to the line passing through the points A(3, –7) and B(5, –7) is:
2
1
–1
0