The line AB has equation 3x + 5y = 7. What is the gradient of AB?
The gradient of a line in the form y = ax + b, where a and b are some numbers, is the number a.
So we need to get the equation 3x + 5y = 7 into the above form, with y on one side on its own!
We first move the 3x to the right hand side by subtracting 3x from both sides, giving us
5y = -3x + 7.
We then divide both sides by 5 to give us
y = (-3/5) x + (7/5).
So our number a in this case is -3/5, which is our gradient!
BK
Related Maths A Level answers
All answers ▸How do I express complicated logs as single logarithms?
How do I integrate terms with sin^2(x) and cos^2(x) in them? For example integrate (1+sin(x))^2 with respect to x
x = 1 is a solution for the curve y = x^3-6x^2+11x-6, find the other solutions and sketch the curve, showing the location of any stationary points.
Prove that n is a prime number greater than 5 then n^4 has final digit 1