We want to graph the given linear function. Let's recall the functions written in slope-intercept form follow a specific format.
f(x)= mx+ b
In this form, m represents the slope of the line and b represents the y-intercept. Let's highlight them in the given function.
f(x) = x-8 ⇔ f(x)= 1x+ ( - 8)
The slope is 1. It means that for every 1 unit we move in the positive horizontal direction, we move 1 unit in the positive vertical direction.
m= 1/1 ⇔ rise/run=1/1
The y-intercept is - 8, so the graph crosses the y-axis at the point (0, - 8). To graph the function, we will plot the y-intercept and then use the slope to find another point on the line.