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.
Identifying the Slope and y-intercept
Now, let's highlight the slope m and y-intercept b in the given equation.
y= 3x - 5 ⇔ y= 3x+( -5)
The slope is 3. The y-intercept is - 5, so the graph crosses the y-axis at the point (0, - 5).
Graphing the Equation
A slope of 3 means that for every 1 unit we move in the positive horizontal direction, we move 3 units in the positive vertical direction.
m= 3/1 ⇔ rise/run=3/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
