Question

Can someone help with this please?

Answer 1

Given:

The table represents a linear function.

To find:

The y-intercept, slope and equation of linear function.

Solution:

Consider any two points from the given table, i.e., (0,-5) and (1,-1).

Equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-(-5)=(-1-(-5))/(1-0)(x-0)`

`y+5=(-1+5)/(1)(x)`

`y+5=4x`

Subtracting 5 from both sides, we get

`y=4x-5`

On comparing this equation with slope intercept form
`y=mx+b`, where, m is slope and y-intercept is b, we get

`m=4,=-5`

Therefore, y-intercept is -5, slope is 4 and equation is
`y=4x-5`.