Find the equation of the line passing through the point P(4, - 5) and parallel to the line joining the points A(3, 7) and B( - 2, 4).
As two points passing through a line parallel to the line are given, we will calculate slope using two points(slope of parallel lines is equal).
$\mathrm{m}=\frac{\mathrm{y}_{2-\mathrm{y}_{1}}}{\mathrm{x}_{2}-\mathrm{x}_{1}} \Rightarrow \frac{4-7}{-2-3}=\frac{-3}{-5}$
$\mathrm{m}=\frac{3}{5}$
Now using the slope - intercept form, we will find intercept for a line passing through (4, - 5)
$y=m x+c$ .....................(1)
$-5=\frac{3}{5}(4)+c \Rightarrow-5-\frac{12}{5}=c$
$c=\frac{-25-12}{5} \Rightarrow c=-\frac{37}{5}$
Putting value in equation (1)
$y=\frac{3}{5}(x)+\left(\frac{-37}{5}\right) \Rightarrow 3 x-5 y-37=0$
So, the required equation of line is $3 \mathrm{x}-5 \mathrm{y}-37=0$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,