Slope-intercept form is a method for writing a linear equation in which the equation is written using the general formula y = mx + b. In slope-intercept form, the variable m refers to the slope of the line, and the variable b refers to the y-intercept of the line. The y-intercept is the point of a linear equation at which the line passes through a graph's y axis.
To put a linear equation into slope-intercept form, find the values of m and b. The slope of a line, m, can be found by measuring the distance between two points on the line. The equation for slope is m = (y2 - y1) / (x2 - x1). The y-intercept of a line, b, can be found by plugging the x and y values from any point on the line into the equation. For example, if a line's slope is three, and the line passes through the point (8, 4), one would calculate the y-intercept by plugging those values into the slope-intercept form formula. The steps of this process are:
y = mx +b
4 = 3(8) + b
4 = 24 + b
b = -20
The slope-intercept form for this linear equation is y = 3x -20, in which the slope is three and the y-intercept is minus 20.