Reduce the following equations into slope-intercept form and find their slopes and the y-intercepts.
Reduce the following equations into slope-intercept form and find their slopes and the y-intercepts.
(i) $x+7 y=0$
(ii) $6 x+3 y-5=0$
(iii) $y=0$
(i) The given equation is $x+7 y=0$.
It can be written as
$y=-\frac{1}{7} x+0$ $\ldots(1)$
This equation is of the form $y=m x+c$, where $m=-\frac{1}{7}$ and $c=0$.
Therefore, equation $(1)$ is in the slope-intercept form, where the slope and the $y$-intercept are $-\frac{1}{7}$ and 0 respectively.
(ii) The given equation is $6 x+3 y-5=0$.
It can be written as
$y=\frac{1}{3}(-6 x+5)$
$y=-2 x+\frac{5}{3}$ $\ldots(2)$
This equation is of the form $y=m x+c$, where $m=-2$ and $c=\frac{5}{3}$.
Therefore, equation ( 2 ) is in the slope-intercept form, where the slope and the $y$-intercept are-2 and $\frac{5}{3}$ respectively.
(iii) The given equation is $y=0$.
It can be written as
$y=0 \cdot x+0$ $\ldots(3)$
This equation is of the form y = mx + c, where m = 0 and c = 0.
Therefore, equation (3) is in the slope-intercept form, where the slope and the y-intercept are 0 and 0 respectively.
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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,