Question

What is the slope of a line perpendicular to the line whose equation is 4.x - y = 9.Fully simplify

Answer 1

-1/4

Step-by-step explanation:

Given equation:

`4x\text{ - y = 9}`

Rewriting the equation in the form y = mx + b:

`\begin{gathered} 4x\text{ = y + 9} \\ 4x\text{ - 9 = y} \\ y\text{ = 4x - 9} \end{gathered}`

For a line to be perpendicular to another line, the slope of one line will be the negative reciprocal of the second line.

From the equation above:

y = 4x - 9

m = slopeof the 1st line = 4

b = y - intercept = -9

reciprocal of the slope = 1/4

negative reciprocal = -1/4

slope of 2nd line = -1/4

The slope of the line perpendicular to the equation 4x - y = 9 is -1/4