The line AB has equation 3x + 5y = 7 (a. Find the gradient of AB)
This is an easy one as long as you remember the important equation y = mx + c. I can't express how important it is for you to learn that equation.
Step one: find y. Do this by taking 3x away from both sides and dividing by 5 so that the y is by itself. y= 7/5 - 3x/5
Step two: identify that this looks like your equation y=mx+c where m is the gradient and c is a number.
You therefore know that the gradient of AB is -3/5.
PW
Related Maths A Level answers
All answers ▸How can I differentiate x^2+2y=y^2+4 with respect to x?
A curve C has the equation x^3 + 6xy + y^2 = 0. Find dy/dx in terms of x and y.
Find the binomial expansion of (4-8x)^(-3/2) in ascending powers of x, up to and including the term in x^3. Give each coefficient as a fraction in its simplest form. For what range of x is a binomial expansion valid?
Differentiate x^2 ln(3x) with respect to x