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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...

NS
Answered by Nick S. Maths tutor
3577 Views

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 axi...

JT
Answered by Jack T. Maths tutor
3842 Views

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 su...

JE
Answered by Joshua E. Maths tutor
3224 Views

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 o...

EB
Answered by Ellen B. Maths tutor
6170 Views

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) + 8x + c, remembering to add the constant of integration. Now, we are almost...

GC
Answered by George C. Maths tutor
6444 Views

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