Question

Pls help me im desperate bots are not supposed to post here

Answer 1

y =
`(1)/(2)x+8`

Explanation:

From the table given in the picture,

Two points lying on the graph are (-4, 6) and (-2, 7)

Let the linear function is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by,

Slope (m) =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (-4, 6) and (-2, 7) will be,

m =
`(7-6)/(-2+4)`

m =
`(1)/(2)`

y-intercept is a point for which x = 0

From the given table,

For x = 0, y = 8

Therefore, y-intercept (b) = 8

Equation of the linear function will be,

y =
`(1)/(2)x+8`