How do you write an equation of a line given slope is 3/7 and the ordered pair is (0, 5/6)?
The general equation of a straight line is:
We are told that the gradient (slope) is
We are given a condition where this equation is true. We are told that it passes through the point
So we van substitute for both
Thus the finished equation is:
There is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.
Using this formula requires only ONE step with substitution and some easy simplifying. Works like a dream...
However, in this particular case, no working was required at all.
The slope, m is given as
Let the slope (gradient) be
The gradient (slope) the change in up or down for a given change in along.
Let given point be
Let any other point be