Question

Someone please help me!!

Answer 1

See below

Explanation:

Slope-intercept form of an equation of line:

`y = mx + c` —— eq(i)

Where:

c = y-intercept

= y-value for which the corresponding x-value is 0

=
`-1` (From the provided table)

m = slope
=
`(rise)/(run)`

=
`(y_(2) - y_(1))/(x_(2) - x_(1))` —- eq(ii)

Choose any two sets of coordinates and then substitute in eq(ii). I chose:

`(3, 8)` as
`(x_(1), y_(1))`

`(4, 11)` as
`(x_(2), y_(2))`

=
`(11 - 8)/(4 - 3)`

=
`(3)/(1)`

∴ m =
`3`

Substituting the values of c and m in eq(i):

`y = (3)x + (-1)`

∴ Equation for the function

`y = 3x - 1`