Question

A table and graph for a linear function,

g(x) are shown. Use the table and graph for questions 5 and 6. ​

Answer 1

Explanation:

first of all, we choose two points to get the slope:

let take (-4,8) and (-2,7)

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

m =
`(7 - 8 )/(-2 + 4 )`

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

point-slope form

y - 7= 
`(-1 )/(2 )` ( x + 2 )

slope- intercept form

y =
`(-1)/(2)` x + 6