Respuesta :

Answer:

Slope formula:

RISE: y2(second y-coordinate) - y1(first y-coordinate)

        ____________________________________

RUN: x2(second x-coordinate) - x1(first x-coordinate)

y2 - y1 / x2 - x1

Plug in what we have in the order given in the formula:-

 12 - 6           6

______ = ______, which simplifies to 2.

  7 - 4            3

Therefore, 2 is the slope of this equation.

Answer:

Slope: 2

Step-by-step explanation:

Given points:

  • (4, 6)
  • (7, 12)

Slope formula: (y₂ - y₁)/(x₂ - x₁)

1. Substitue the coordinates of the points in the formula, which will determine the slope of the two points:

  1. [Formula] Slope = (y₂ - y₁)/(x₂ - x₁)
  2. [Substitute] Slope = (12 - 6)/(7 - 4)

2. Simplify the fraction. The quotient will be the slope of the line.

  1. [Simplify] Slope = (6)/(3) = 2

Thus, the slope of the line is 2.

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