Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0) Please help

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 ISlope-Intercept Form: y = mx + bm - slopeb - y-interceptPoint-Slope Form: y - y₁ = m(x - x₁) x₁ - x coordinatey₁ - y coordinatem - slopeStep-by-step explanation:Step 1: DefineIdentify given.[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]Step 2: Find EquationRecall 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:[Point-Slope Form] Substitute in variables:
[tex]\displaystyle y - 0 = -0.75(x - 8)[/tex]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: : Algebra I