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The slope of a line is the ratio of the
A.
vertical change to the horizontal change between any two points on the line.
B.
x-intercept to the y-intercept.
C.
y-intercept to the x-intercept.
D.
horizontal change to the vertical change between any two points on the line.

Answer :

Ladish

Answer:

A.

vertical change to the horizontal change between any two points on the line.

Step-by-step explanation:

slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.

Lanuel

The slope of a line is the ratio of the : A.  Vertical change to the horizontal change between any two points on the line.

The slope of a line is the gradient of a line and it describes (represents) both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is calculated by using this formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Hence, the slope of a line is the ratio of the change in y-axis (vertical) to the change in x-axis (horizontal) of a line.

Additionally, the standard form of an equation of line is given by the following formula;

[tex]y = mx + b[/tex]

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

In conclusion, the ratio of the  vertical change to the horizontal change between any two points on the line is the slope of a line.

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