A very important property of an algebraic linear equation is its Slope or gradient. Slope of a linear equation shows that how its angles are farther from the horizontal line of the graph. A linear equation have a form of y = mx + c. For finding the Slope of a linear equation we must use a formula that is, m = (y2 – y1) / (x2– x1) this means that we need at least two points on the line. We must pick two x’s and then solve for every corresponding value of ‘y’ i.e. if we pick x = 3 then we will place this in the above equation and will try to find out the value of ‘y’; similarly we may pick many values for x and then find out the corresponding value of ‘y’.
We may also change the order of subtraction then the formula become, m = (y1 – y2) / (x1 – x2) this means that the order of subtraction does not matter; the only thing which matters is that the order of subtraction of ‘y’ values must be same as the order of subtraction of ‘x’ values. The subscripts with points ‘x’ and ‘y’ show that we are working with two points of a linear equation. It completely depends on us which subscript we want to use as first or which one as a second. The only thing matter is that we must subtract x’s and y’s in same order.
Generally in such problems of finding slope of a linear equation we only have an equation. To find out its slope we first need to graph the line on the plane so that we can get two points by using them we can find out slope of the equation.