Question

Write the equation of the line that is perpendicular to the line 4y=5x−8 through the point (-5,4).A. y=−4/5xB. y=5/4xC. y=−5/4x−3D. y=4/5

Answer 1

y=− - 4/5 x

Explanation:

Y = NEGATIVE 4/5 x

Answer 2

Given the line: 4y = 5x - 8

The slope of the given line = 5/4

The slope of the perpendicular line = -4/5

The line passes through the point (-5, 4 )

So, the point-slope equation will be:

`(y-4)=(-4)/(5)(x+5)`

Convert the equation to the slope-intercept form

So,

`\begin{gathered} y-4=-(4)/(5)x-(4)/(5)\cdot5 \\ y-4=-(4)/(5)x-4 \\ y=-(4)/(5)x-4+4 \\ \\ y=-(4)/(5)x \end{gathered}`

So, the answer will be option A. y= −4/5 x