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) = 2x+ 1
The slope is 2. It means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the positive vertical direction.
m= 2/1 ⇔ rise/run=2/1
The y-intercept is 1, so the graph crosses the y-axis at the point (0, 1). To graph the function, we will plot the y-intercept and then use the slope to find another point on the line.
