I'm kind of confused on the problem in point slope form. Please show me step-by-step. Thank you.

y-18.5=3.2/3(x-1)

what about it ?

It is in point-slope form.

Are you bothered by the decimals and/or the fraction ?

Yes. @reiny

I'm bother by the fraction.

Sure! I can help you with that. The equation you provided is in point-slope form, which is used to represent a linear equation when you know the slope of the line and the coordinates of a point on the line.

To better understand it, let's break down the equation step-by-step:

Step 1: Start with the equation you provided: y - 18.5 = 3.2/3(x - 1).

Step 2: Identify the slope: In point-slope form, the slope is represented by the coefficient next to the x term. In this case, the slope is 3.2/3.

Step 3: Identify the given point: In point-slope form, the coordinates of a point on the line are usually given within parentheses. In this case, the point is (1, 18.5).

Step 4: Plug in the values: Replace the variables x and y with the values from the given point (1, 18.5) in the equation:

y - 18.5 = 3.2/3(x - 1)

(18.5) - 18.5 = 3.2/3((1) - 1)

0 = 0

Step 5: Simplify if necessary: In this case, the equation simplifies to 0 = 0. This means that any value of x will satisfy the equation, resulting in a line with an infinite number of solutions.

So, the equation y - 18.5 = 3.2/3(x - 1) represents a line with a slope of 3.2/3 passing through the point (1, 18.5). Since the equation simplifies to 0 = 0, it implies that any value of x will result in a valid solution.

I hope this explanation helps! Let me know if you have any further questions.