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. Let's identify these values in the given equation.
y= -3/2x+ 6
The slope is - 32. The y-intercept is 6, so the graph crosses the y-axis at the point (0, 6).
Graphing the Equation
A slope of - 32 means that for every 2 units we move in the positive horizontal direction along the graph, we move 3 units in the negative vertical direction.
m= -3/2 ⇔ rise/run=-3/2
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
Finding the x-intercept
Lastly, we need to find the x-intercept. Looking at the graph we made, it seems that point (4,0) might be a good candidate. Let's check it by substituting the point into the given equation. If simplifying the equation results in a true statement, we know that this is the x-intercept.
