Question

Help pls!! plus 20 points!!!!

Answer 1

`\boxed{ y = ( 4)/( 9)x + (4 )/(3 )}`

Explanation:

1. Calculate the slope of Line f

y - 3 = -⁹/₄(x – 6)

The coefficient of x is -⁹/₄, so

The slope m₁ = -⁹/₄.

2. Calculate the slope of the perpendicular line

m₂ = -1/m₁

m₂ = ⁴/₉

3. Calculate the y-intercept of line g

y = mx + b

4 = 6(⁴/₉) + b

4 = ⁸/₃ + b

Subtract ⁸/₃ from each side: b = 4 - ⁸/₃ = ⁴/₃

The y-intercept is b = ⁴/₃.

Step 4. Write the equation for line g

`\boxed{ y = ( 4)/( 9)x + (4 )/(3 )}`

The Figure below shows the graph of line f in red, and the graph of its perpendicular line g in black.