Subject: Mathematics
Book: Maths Mastery
Two lines are parallel if they share the same slope but have different y-intercepts (m₁ = m₂). Perpendicular lines’ slopes are negative reciprocals (m₁ × m₂ = –1). For instance, if a line has slope 2, a parallel line also has slope 2, while a perpendicular line’s slope is –1/2. In slope-intercept form y = mx + b, changing b shifts the line parallelly, and switching to the negative reciprocal changes its orientation to perpendicular. In fields like architecture or geometry proofs, this concept ensures accurate angle construction and parallel design alignment. Practice with slope forms cements your ability to interpret and create consistent geometric relationships.
What is the sum of all odd numbers from 1 to 99?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionWhat is the sum of the interior angles of a hexagon?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View QuestionA triangle has angles 60°, 60°, and 60°. What type of triangle is it?
View QuestionWhat is the cube root of 729?
View Question