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.

DE
Answered by Dominic E. Maths tutor

8705 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you show that two lines do, or do not intersect?


Show that the integral ∫(1-2 sin^2⁡x)/(1+2sinxcosx) dx = (1/2) ln2 between the limits π/4 and 0. [5 marks]


Complete the square for the following equation: 2x^2+6x-3=0


The line AB has equation 3x + 5y = 7, find; a) the gradient of AB b) the x-axis and y-axis intercepts c) sketch the graph


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