Afunction f(x) is graphed on the coordinate plane.

what is the function rule in slope-intercept form?

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f(x)=

Step-by-step explanation:

Note that the graph of the function shown is a straight line.

The equation of a line in the pending intercept form is:

y = mx + b

Where m is the slope and b is the intercept with the y axis.

To find the equation of the graphical line we need to identify two points so this line passes.

Notice that the line passes through the point (2, 0) and through the point

(0, 1)

Then we use these two points to calculate the slope m.

In this case

Then

Therefore the equation is

Now we substitute a point in the equation and solve for b

Finally the function rule in slope-intercept form is

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.