slope

x-intercept

y-intercept

equation of a line

the initial amount

:: when y = 0 ::rise/run = change in y/change in x

y = mx + b

when x and y both = 0 :: y = slope + x-intercept

distance of a line segment between 2 points

slope: The measure of how steep a line is, calculated as the change in y divided by the change in x.

x-intercept: The point at which a line crosses the x-axis (i.e., where y = 0).

y-intercept: The point at which a line crosses the y-axis (i.e., where x = 0).

equation of a line: The standard form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

the initial amount: The value of y when x = 0, usually represented as the y-intercept (b) in the equation y = mx + b.

distance of a line segment between 2 points: The length of the straight line that connects two given points in a plane, calculated using the distance formula or the Pythagorean theorem.