Question

how is the slope of a line calculated from a table?
a. by dividing the change in y by the change in x
b. by subtracting the x values from the y values
c. by adding the x and y values
d. by multiplying the x and y values

Explanation:

The formula for the slope \( m \) of a line is \( m=\frac{\Delta y}{\Delta x} \), where \( \Delta y \) is the change in \( y \)-values (rise) and \( \Delta x \) is the change in \( x \)-values (run). Option b describes subtraction (not the ratio of changes), option c describes addition, and option d describes multiplication, none of which are the correct method for calculating slope. Only option a correctly states that slope is the change in \( y \) divided by the change in \( x \).

Answer:

a. By dividing the change in \( y \) by the change in \( x \)