Question

Find the equation of a line that passes through the point (2,1) and has a gradient of 2. Leave your answer in the form ax + by = c where a,b and c are integers

Answer 1

Explanation:

normally, if we have the gradient (or slope of inclination or change rate) and a point, we start using the point-slope form :

y - y1 = a(x - x1)

with (x1, y1) being a point on the line, and a being the slope of gradient (or ... however you want to call it).

y - 1 = 2(x - 2) = 2x - 4

y + 3 = 2x

2x - y = 3