Question

Which among the following functions have the greatest y-intercept value?

• A. y = 2.4x - 24
• B. y = 12 - 3x
• C. y = -3x + 4
• D. y = -32 - 8.3x

Answer 1

The correct option is B y = 12 - 3x

We know, equation of a function is in the form of: y = mx + c
where 'c' indicates the y-intercept value of the function.

In First Option:

Equation is y = 12 - 3x

Comparing the equation y = 12 - 3x with y = mx + c, we get:

Value of y-intercept = 12

In Second Option:

Equation is y = 2.4x - 24

Comparing the equation y = 2.4x - 24 with y = mx + c

Value of y-intercept = -24

In Third Option:

Equation is y = -32 - 8.3x

Comparing the equation y = -32 - 8.3x with y = mx + c, we get:

Value of y-intercept = -32

In Fourth Option:

Equation is y = -3x + 4

Comparing the equation y = -3x + 4 with y = mx + c, we get:

Value of y-intercept = 4

$\text{Hence,}-32<-24<4<12$

$\text{Third Option}<\text{Second Option}<\text{Fourth Option}<\text{First Option}$

$\therefore \text{The equation}\text{y = 12 - 3x has the greatest y-intercept}$