Find the gradient of the line 4x+9y=10.

There are two approaches to this problem.

Firstly, you could rearrange the equation so that you have the general equation of a line, y=mx+c, where m is the gradient that you are looking for! When we rearrange the equation, we get y=-4/9x+10/9 so the gradient is -4/9.

Also, we can use implicit differentiation to get the solution. We do this by differentiating both sides of the equation with respect to x. This gives us 4+9dy/dx=0. This can be rearranged to give dy/dx=-4/9. As we know the first derivative is the gradient - we can say the gradient of the line is -4/9.

DS
Answered by Dan S. Maths tutor

4620 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has the equation y = 2x cos(3x) + (3x^2-4) sin(3x). Find the derivative in the form (mx^2 + n) cos(3x)


Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1


Find the turning point of the function y=f(x)=x^2+4x+4 and state wether it is a minimum or maximum value.


Find the turning value of the following function, stating whether the value is min or max, y = x^2 -6x + 5


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning