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Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7

First we rearrange the equation y + 4 x = 7 to y = −4 x + 7 So we can see that the gradient of this equation is −4. Since the line we are looking for is parallel, it must have the same gradient, −4. So now w...
DS
Answered by David-Ruben S. • Maths tutor
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Solve the simultaneous equations: 5x + 3y = 9 and 7x - 2y = 25.

To solve these similar equations, we must either first eliminate x or y. There are multiple ways of doing this, one being rearranging one of the equations so that it is either "x=.." or "y=......
MG
Answered by Màiri G. • Maths tutor
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What is Pythagoras' theorem?

Pythagoras' Theorem is a rule for right-angled triangles which is used to solve problems. Explanation: For any right-angled triangle, the longest side (opposite the right angle) is called the hypotenuse . If...
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Answered by Sarah P. • Maths tutor
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How to apply the quadratic equation

First you determine which value is a, b, or c in the polynomial. Then you insert those values into the equation correctly.
RN
Answered by Ross N. • Maths tutor
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What is a stationary point on a curve? How do I calculate the co-ordinates of a stationary point?

A stationary point simply means a point in a curve where the gradient is equal to 0.For example, in the June 2015 C3 Paper it is asked:Find the exact values of the coordinates of the stationary points of the...
ML
Answered by Martin L. • Maths tutor
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