We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph.
y= -1/2x + 3
The slope is - 12 and the y-intercept is 3.
Graphing the Equation
A slope of - 12 means that for every 2 units we move in the positive horizontal direction, we move 1 unit in the negative vertical direction.
m=rise/run=-1/2
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
Identify the x-intercept
Now that we have graphed the given function, we can use our graph to identify the x-intercept. This is the point at which the line intercepts the x-axis.
The line crosses the axis at (6,0) so the x-intercept is 6.
