Equations written in slope-intercept form follow a specific format.
y= mx+ b
In this form, m represents the slope of the line and b represents the y-intercept. The given equation is already in this form, so we can highlight its slope and y-intercept.
y=2x-1 ⇔ y= 2x+( -1)
The y-intercept is -1, so the graph passes through the y-axis at (0, -1).
Graphing the Equation
A slope of 2 means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the positive vertical direction.
m= 2/1 ⇔ rise/run=2/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
