MYTUTOR SUBJECT ANSWERS

375 views

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.

Dan S. A Level Maths tutor, A Level Further Mathematics  tutor

9 months ago

Answered by Dan, who has applied to tutor A Level Maths with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

306 SUBJECT SPECIALISTS

£24 /hr

Ayusha A.

Degree: BEng electrical and electronics engineering (Bachelors) - Newcastle University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“About me: I am a final year Electrical and Electronic Engineering student at Newcastle University. I took Mathematics, Further Mathematics, Chemistry and Physics as my A-level subjects. I did peer mentoring in university and also have...”

£30 /hr

Michelangelo M.

Degree: MMath Mathematics with Placement (Masters) - Bath University

Subjects offered:Maths, Italian+ 4 more

Maths
Italian
Further Mathematics
Computing
.STEP.
.MAT.

“Mathematics student at the University of Bath, willing to help you love this subject and improve your grades.”

£22 /hr

Josh M.

Degree: Biological Natural Sciences (Bachelors) - Cambridge University

Subjects offered:Maths, Physics+ 3 more

Maths
Physics
Chemistry
Biology
-Oxbridge Preparation-

“Who am I? I'm currently studying Natural Sciences in my third year at Cambridge University, with a focus on Neuroscience. Science is my passion, I've loved it at every level I've studied it, and a desire to pass on my passion is part ...”

About the author

£20 /hr

Dan S.

Degree: Mathematics & Statistics (Bachelors) - Warwick University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Dan

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

Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.

Sketch the curve y = (x^2 - 9)(x - 2)

Other A Level Maths questions

Prove that the indefinite integral of I = int(exp(x).cos(x))dx is (1/2)exp(x).sin(x) + (1/2)exp(x).cos(x) + C

What is the integral of ln(x)? Hint: use parts for this integration

How do I multiply complex numbers?

Find ∫(8x^3 + 4) dx

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok