Question

Given 2 points, fill in the slope formula

and calculate the slope of the equation.
(4, 6); (7, 12)

Answer 1

Slope: 2

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.

Answer 2

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.