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

Related Maths A Level answers

All answers ▸

If y = 4x^3 - 6x^2 + 7 work out dy/dx for this expression


Question 6 from Aqa 2017 June paper for C4, the vector question


Find, w.r.t to x, both the derivative and integral of y=6*sqrt(x)


find the gradient of y=x3 X0=5