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What is the equation of a straight line? Describe what all the terms within the equation do.

The equation of a straight line is: y = mx + c There is a 'y term', y, and an 'x term', x. The gradient of the line, m, is the slope of the straight line. The larger the value of m, the steeper the slope. Th...
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Answered by Nick S. • Maths tutor
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How do you find the X and Y intercepts of an linear equation?

To find the X intercept of an equation you can make Y = 0 and then solve for X. To find the Y intercept of an equation you can make X = 0 and then solve for YWhen you plot the equation on a graph with axis: ...
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Answered by Jack T. • Maths tutor
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If we know that y is directly proportional to x and that when x=1, y=3, then what is the value of x when y=4?

The fact that y is directly proportional to x gives us that y=kx, where k is some constant.Firstly, we need to find the value of this constant, using the pair of values we are given in the question. We subst...
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Answered by Joshua E. • Maths tutor
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Solve the following simultaneous equations, 1) 3x + 3y = 9 and 2) 4x + 2y = 13.

Solving the above question means to find a value of x and y that satisfies both equations. To solve this we first have to look at the x terms and y terms and decide which terms are the easiest to cancel out....
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Answered by Ellen B. • Maths tutor
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A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).

We know that f'(x) = x^3 + 2*x^0.5 + 8, and we can integrate both sides. This gives us f(x) = (1/4)*x^4 + (4/3) x^(3/2) + 8 x + c, remembering to add the constant of integration. Now, we are almost there, bu...
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Answered by George C. • Maths tutor
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