Question

The function g(x) shown in the table below is a linear function. Find its slope, y-intercept, and formula in

slope-intercept form.

Answer 1

see explanation

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 9, 31) and (x₂, y₂ ) = (15, - 41) ← 2 ordered pairs from the table

m =
`(-41-31)/(15-(-9))` =
`(-72)/(15+9)` =
`(-72)/(24)` = - 3

the y- intercept is the value of g(x) when x = 0 , then from the table

y- intercept = 4

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then equation is

y = - 3x + 4