Aband director uses a coordinate plane to plan as

Ответ:

gisellekarime

10.01.2022

The equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

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: $m_1\times m_2=-1$

$-5\times m_2=-1$

$m_2=\frac{1}{5}$

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.

y-y_1=m(x-x_1)

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

$y-2=\frac{1}{5}(x+2)$

$y-2=\frac{x}{5}+\frac{2}{5}$

$y=\frac{x}{5}+\frac{2}{5}+2$

$y=\frac{x}{5}+\frac{12}{5}$

Hence, the equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

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