Respuesta :

Answer:

3/4

Step-by-step explanation:

To fine the slope, first subtract the y-values.

4 - 7 = -3

Next, subtract the x-values.

2 - 6 = -4

Divide the two values.

-3/-4 = 3/4

The slope is 3/4.

IMPORTANT:  Make sure to subtract the y-values and x-values in the same order.  This means that if you subtracted the y-value from point 1 by the y-value from point 2, you have to subtract the x-value from point 1 by the x-value from point 2.  If you switch them, you will get the wrong sign.

The slope of the line is 0.75. or 3/4.

What is a slope?

Slope can be defined as the ratio of the increase in the y-axis to the increase in the x-axis.

To calculate the slope of the line, we use the formula below

Formula:

  • S = (y₂-y₁)/(x₂-x₁)

Where:

  • S = Slope of the line.

From the question,

Given:

  • y₁ = 4
  • x₁ = 2
  • y₂ = 7
  • x₂ = 6

Substitute these values into equation 1

  • S = (7-4)/(6-2)
  • S = 3/4
  • S = 0.75. or 3/4

Hence, The slope of the line is 0.75. or 3/4.

Learn more about slope here: https://brainly.com/question/3493733