Respuesta :

Space

Answer:

The equation of the line that is parallel to the given is equal to the expressions below:

[tex]\displaystyle \boxed{ y = -0.75(x - 8) \text{ or } y = -0.75x + 6 }[/tex]

General Formulas and Concepts:
Algebra I

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]

Step 2: Find Equation

Recall that a parallel line has the same slope as the one that is given. Therefore, we can define the slope of our parallel line to be m = -0.75:

  1. [Point-Slope Form] Substitute in variables:
    [tex]\displaystyle y - 0 = -0.75(x - 8)[/tex]
  2. Simplify:
    [tex]\displaystyle \boxed{ y = -0.75(x - 8) }[/tex]

We can rewrite this form into slope-intercept form as well by expanding:

[tex]\displaystyle y = -0.75(x - 8) \rightarrow \boxed{ y = -0.75x + 6 }[/tex]

∴ we have found the equation of a line that is parallel to the given information.

---

Learn more about Algebra I: https://brainly.com/question/27730969

---

Topic: Algebra I

Q&A Education