Find the equation of the line parallel to
and passing through the point
Finding the equation of a line perpendicular to a given line passing through a given point
Find the equation of the line perpendicular to
The first step is to write the equation in slope-intercept form.
We see that the slope is
This means that the slope of the line perpendicular to the given line is the negative reciprocal, or
Next, we use the point-slope formula with this new slope and the given point.
Access these online resources for additional instruction and practice with linear equations.
We can solve linear equations in one variable in the form
using standard algebraic properties. See
[link] and
[link].
A rational expression is a quotient of two polynomials. We use the LCD to clear the fractions from an equation. See
[link] and
[link].
All solutions to a rational equation should be verified within the original equation to avoid an undefined term, or zero in the denominator. See
[link] and
[link].
Given two points, we can find the slope of a line using the slope formula. See
[link] .
We can identify the slope and
y -intercept of an equation in slope-intercept form. See
[link].
We can find the equation of a line given the slope and a point. See
[link].
We can also find the equation of a line given two points. Find the slope and use the point-slope formula. See
[link].
The standard form of a line has no fractions. See
[link] .
Horizontal lines have a slope of zero and are defined as
where
c is a constant.
Vertical lines have an undefined slope (zero in the denominator), and are defined as
where
c is a constant. See
[link].
Parallel lines have the same slope and different
y- intercepts. See
[link] .
Perpendicular lines have slopes that are negative reciprocals of each other unless one is horizontal and the other is vertical. See
[link] .
Section exercises
Verbal
What does it mean when we say that two lines are parallel?
It means they have the same slope.
What is the relationship between the slopes of perpendicular lines (assuming neither is horizontal nor vertical)?
How do we recognize when an equation, for example
will be a straight line (linear) when graphed?
The exponent of the
variable is 1. It is called a first-degree equation.
What does it mean when we say that a linear equation is inconsistent?
When solving the following equation:
explain why we must exclude
and
as possible solutions from the solution set.
If we insert either value into the equation, they make an expression in the equation undefined (zero in the denominator).
Algebraic
For the following exercises, solve the equation for
Three charges q_{1}=+3\mu C, q_{2}=+6\mu C and q_{3}=+8\mu C are located at (2,0)m (0,0)m and (0,3) coordinates respectively. Find the magnitude and direction acted upon q_{2} by the two other charges.Draw the correct graphical illustration of the problem above showing the direction of all forces.
To solve this problem, we need to first find the net force acting on charge q_{2}. The magnitude of the force exerted by q_{1} on q_{2} is given by F=\frac{kq_{1}q_{2}}{r^{2}} where k is the Coulomb constant, q_{1} and q_{2} are the charges of the particles, and r is the distance between them.
Muhammed
What is the direction and net electric force on q_{1}= 5µC located at (0,4)r due to charges q_{2}=7mu located at (0,0)m and q_{3}=3\mu C located at (4,0)m?
Capacitor is a separation of opposite charges using an insulator of very small dimension between them. Capacitor is used for allowing an AC (alternating current) to pass while a DC (direct current) is blocked.
Gautam
A motor travelling at 72km/m on sighting a stop sign applying the breaks such that under constant deaccelerate in the meters of 50 metres what is the magnitude of the accelerate
velocity can be 72 km/h in question. 72 km/h=20 m/s, v^2=2.a.x , 20^2=2.a.50, a=4 m/s^2.
Mehmet
A boat travels due east at a speed of 40meter per seconds across a river flowing due south at 30meter per seconds. what is the resultant speed of the boat
which has a higher temperature, 1cup of boiling water or 1teapot of boiling water which can transfer more heat 1cup of boiling water or 1 teapot of boiling water explain your . answer
I believe temperature being an intensive property does not change for any amount of boiling water whereas heat being an extensive property changes with amount/size of the system.
Someone
Scratch that
Someone
temperature for any amount of water to boil at ntp is 100⁰C (it is a state function and and intensive property) and it depends both will give same amount of heat because the surface available for heat transfer is greater in case of the kettle as well as the heat stored in it but if you talk.....
Someone
about the amount of heat stored in the system then in that case since the mass of water in the kettle is greater so more energy is required to raise the temperature b/c more molecules of water are present in the kettle
pratica A on solution of hydro chloric acid,B is a solution containing 0.5000 mole ofsodium chlorid per dm³,put A in the burret and titrate 20.00 or 25.00cm³ portion of B using melting orange as the indicator. record the deside of your burret tabulate the burret reading and calculate the average volume of acid used?
No. According to Isac Newtons law. this two bodies maybe you and the wall beside you.
Attracting depends on the mass och each body and distance between them.
Dlovan
Are you really asking if two bodies have to be charged to be influenced by Coulombs Law?
Robert
like charges repel while unlike charges atttact
Raymond
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