Question

Someone answer please thanks

Answer 1

a) The slope is a ratio that describes how a quantity is changing with respect to a change in another quantity.

b) If x is the independent variable and y is the dependent variable, then the slope is the ratio of change in the y-coordinates y₂ - y₁ to the corresponding change in the x-coordinates x₂ - x₁ as you move from one point to another along a line.

c) When given a graph, the slope is the Rise/Run, m = (y₂ - y₁)/(x₂ - x₁).

d) When given two ordered pairs, the slope can be determined from the coordinates of two points on the line, still using m = (y₂ - y₁)/(x₂ - x₁).

e) The types of slope include negative, positive, zero, and undefined as x increases.

The slope in mathematics is the gradient of a line, which is a number that describes both the direction and the steepness of the line.

We can also refer to the slope as the constant rate of change or the ratio that defines the relationship between x and y or the independent and dependent variables.

The formula for the slope is:

Slope of a line = m

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

`m` = slope

`(x_1, y_1)` = coordinates of first point in the line

`(x_2, y_2)` = coordinates of second point in the line