Question

A linear function is described by the table.

X Y | 1 2 | 1/2 7 | 3 9/2 | 2 ?
Use any two points on the line to find the slope of the line. Enter your answer in the box in simplest form.
a) 5/2
b) -5/2
c) 2/5
d) -2/5

Answer 1

To calculate the slope from two points, subtract the y-values of the points and divide by the subtraction of the x-values. None of the provided options match the calculated slope of 5/4, indicating possible errors in the question or provided options.

Step-by-step explanation:

To find the slope of a linear function from a table of values, choose any two points from the table. We can use the points (1, 2) and (3, 9/2). The slope is calculated as the change in y divided by the change in x, which is also known as "rise over run."

Using the points (1, 2) and (3, 9/2), the change in y (rise) is 9/2 - 2, which reduces to 5/2 after simplifying. The change in x (run) is 3 - 1, which is 2. So the slope 'm' is (5/2) / 2 = 5/4.

However, none of the options provided match our calculation. There might be a typo in the question, or it's possible that incorrect points were chosen. With correct calculations, the slope should be 5/4 and not any of the options given.