Respuesta :
Answer:
The equation in slope-intercept form for the path of the trumpet players is [tex]y=\frac{x}{5}+\frac{12}{5}[/tex].
Step-by-step explanation:
Consider the provided information.
The drummers will march along the line y=-5x-8.
The trumpets players will march along a perpendicular line that passes through (-2,2).
The slope of line y=-5x-8 is: m₁ = -5.
The slope of perpendicular lines are: [tex]m_1\times m_2=-1[/tex]
[tex]-5\times m_2=-1[/tex]
[tex]m_2=\frac{1}{5}[/tex]
Hence, the slope of the line should be 1/5.
The line passes through (-2,2).
Now use point slope form to find the equation of line.
[tex]y-y_1=m(x-x_1)[/tex]
Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.
[tex]y-2=\frac{1}{5}(x+2)[/tex]
[tex]y-2=\frac{x}{5}+\frac{2}{5}[/tex]
[tex]y=\frac{x}{5}+\frac{2}{5}+2[/tex]
[tex]y=\frac{x}{5}+\frac{12}{5}[/tex]
Hence, the equation in slope-intercept form for the path of the trumpet players is [tex]y=\frac{x}{5}+\frac{12}{5}[/tex].
