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i) The point A on a graph is (6,-7), and point B is (3,5). Calculate the equation of the straight line that passes through both A and B. ii) Does the line pass through the point C (-2,26)?

i) Gradient (m) = ∆y/∆x. Therefore: m = (5-(-7))/(3-6) = (12)/(-3) = -4. Intercept (c) = 5-(3*(-4)) = 5+12 = 17. Therefore: y = -4x+17 ii) x = -2, y = 26. -4(-2) + 17 = 25. 25≠26, therefore the line does not...
AH
Answered by Adam H. • Maths tutor
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How are is consumer and producer suplus shown on a diagram of supply and demand? How are both the division and amount of total surplus determined?

Starting with the curves themselves, we have a downward sloping demand curve as more people are willing to buy at lower prices. Conversely, seller will be willing to offer more goods for sale as the price in...
JL
Answered by Joshua L. • Economics tutor
2099 Views

How can I improve my overall fluency and the ease at which I am able to speak and understand French?

The greatest advice I could give would be to just immerse yourself, read, listen and speak as much as possible- use every opportunity that arises and search for those which are less visible and will push you...
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Answered by Kate P. • French tutor
2223 Views

How is DNA replicated?

DNA replication starts at an origin - eukaryotic chromosomes have multiple origins whereas prokaryotic chromosomes have only one. Here an enzyme called helicase separates the existing ("parental") ...
SA
Answered by Sarah A. • Biology tutor
3545 Views

An electron moving at 1000 m/s annihilates with a stationary positron. What is the frequency of the single photon produced?

The first thing to be aware of is that the frequency of a photon will depend on two things, its wavelength (c=fλ ) and its energy (E=hf). There is no information regarding the wavelength of the photon, but w...
LM
Answered by Lawrence M. • Physics tutor
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