Question:
Find the equation of the line whose
(i) slope $=3$ and $y-$ intercept $=5$
(ii) slope $=-1$ and $y$ - intercept $=4$
(iii) slope $=-\frac{2}{5}$ and $y-$ intercept $=-3$
Solution:
(i) Formula to be used: y = mx + c where m is the slope of the line and c is the y - intercept
Here, m = 3 and c = 5.
Hence, y = (3)x + (5)
i.e. y = 3x + 5
(ii) Formula to be used: y = mx + c where m is the slope of the line and c is the y - intercept.
Here, m = - 1 and c = 4.
Hence, y = ( - 1)x + (4)
i.e. x + y = 4
(iii) Formula to be used: y = mx + c where m is the slope of the line and c is the y - intercept.
Here, $m=-\frac{2}{5}$ and $c=-3$
Hence, $y=\left(-\frac{2}{5}\right) x+(-3)$
Or, $5 y=-2 x-3$ i.e. $2 x+5 y+3=0$
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- 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,
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