Question

PLEASE HELLPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Select all that apply.

In a linear function:

a Δy = 0
b Δx = 0
c Δy = n
d Δx = n
e Δy = -n
f Δx = -n

Answer 1

y=mx+c
so, there has to be a gradient
therefore, c, d, e, f are gradients of a linear function

Answer 2

Answer with explanation:

Consider a Linear function

 Ax +By +C=0-------(1)

A linear function in one or two variable can be also written as

Ax+C=0---------(2)

or , B y +C=0-------(3)

or, Ax +B y=0-----(4)

⇒Differentiating with respect to, x the equation 1

 A Δx+B Δy=0

$\frac{\Delta y}{\Delta x}=\frac{-A}{B}$

which is the slope of line means angle made by line with positive direction of x axis.

⇒Differentiating with respect to, x the equation 2

A Δx=0

⇒Differentiating with respect to, y the equation 3

A Δy=0

So, Correct Options which describe a Linear function are:

Option 1→  a Δy = 0

 Option 2→ b Δx = 0