Write an equation of the line satisfying the given conditions. Write the answer in standard form with no
fractional coefficients.
-Passes through $( 4,4 )$ and is perpendicular to the line defined by $- 5 x + 4 y = - 6$
A) $5 x - 4 y = 4$
B) $- 5 x - 4 y = - 36$
C) $4 x - 5 y = - 4$
D) $4 x + 5 y = 36$

Question

Quizplus · Accepted Answer

The slope of the given line is $ \frac{5}{4} $. A line perpendicular to it will have a slope of $ -\frac{4}{5} $. Using the point-slope form with point (4,4), we find the equation and convert it to standard form: $4x + 5y = 36$.

Write an Equation of the Line Satisfying the Given Conditions (4,4)( 4,4 )(4,4)

Write an Equation of the Line Satisfying the Given Conditions $( 4,4 )$