Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.
y=mx+by=mx+bWhere m is the slope and b is the y-intercept.
Example
Graph the equation
y−2x=1y−2x=1rewrite in slope-intercept form
y=2x+1y=2x+1Identify the slope and the y-intercept
m = 2 and b = 1
Plot the point corresponding to the y-intercept, (0,1)
The m-value, the slope, tells us that for each step to the right on the x-axis we move 2 steps upwards on the y-axis (since m = 2)