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In the generic formula 'y=mx + c,' how do you use the 'm' and 'c' to plot a linear graph?

The 'm' value should be used to provide a gradient to the graph (i.e. for every 1 unit the graph moves along the x axis, its y movement will be altered by multiplying 1 by 'm'). Therefore, the higher the 'm'...
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Answered by Thomas G. • Maths tutor
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A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.

If line L is parallel to line A it will have the same gradient; in this case, the letter a in the equation y=ax+b represents the gradient. Therefore line L will be of the form y=4x+b. To find the value of b,...
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Answered by Olivia K. • Maths tutor
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Showing all your working, evaluate ∫(21x^6 - e^2x- (1/x) +6)dx

∫(21x 6 -e 2x -1/x+6)dx To tackle this question, I would do each part separately. Firstly, take 21x 6 ...using the product rule this intergrates like so (21/(6+1))x 6+1 = (21/7)x 7 = 3x 7 Second, e kx always...
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Answered by David G. • Maths tutor
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A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx

To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the answe...
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Answered by Shruti V. • Maths tutor
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Solve algebraically: 2x - 5y = 11, 3x + 2y = 7

Here we have two simultaneous equations with two unknowns. In order to solve this, we must first elimate one of the variables. To do this we will first make the coefficient (the number before) of one of the ...
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Answered by Georgia D. • Maths tutor
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