Show that the line with equation ax + by + c = 0 has gradient -a/b and cuts the y axis at -c/b?

This question involves inspecting the answers that have been provided to us. We have been given a constant gradient, and a point at which the line given by the equation cuts the y axis. This, therefore, means that this is a straight line equation, and can be rearranged in the form y = mx + c , where m is the gradient, and c is the y-axis intercept. Moving 'ax' and 'c' to the other side of the equation, and dividing by 'b', we get the straight line equation y = (-a/b)x - c/b . An example of what this straight line graph may look like can be shown on the whiteboard with example values.

Answered by Dominic E. Maths tutor

7263 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How would you go about integrating a function which has an exponential and a cos/sin term?


The function f is defined as f(x) = e^(x-4). Find the inverse of f and state its domain.


How do I find dy/dx for a given equation, once this is found how do I find the value of x such that dy/dx = 0.


Integrate (cosx)^3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences