Question

Describe and correct the error in finding the slope and the y-intercept of the graph of the equation.

Answer 1

The error is the slope is -4 and the correct is, the slope is
`-(1)/(4)`

Explanation:

You must put the equation in the form of y = m x + b, where

• m is the slope

• b is the y-intercept

Let us put the equation n the form above

∵ x = -4y

→ Switch the two sides

∴ -4y = x

→ Make the coefficient of y equal 1 by divide both sides by -4

∵
`(-4y)/(-4)` =
`(x)/(-4)`

∴ y =
`(x)/(-4)`

→ Write
`(x)/(-4)` as
`-(1)/(4)` x

∴ y =
`-(1)/(4)` x

→ Compare it by the form above

∴ m =
`-(1)/(4)` and b = 0

∴ The slope of the is
`-(1)/(4)` , and the y-intercept is 0

∴ The error is the slope is -4 and the correct is the slope is
`-(1)/(4)`