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= - 3x+ 5
The y-intercept is 5, so the graph passes through the y-axis at (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 negative 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.
