Question

Find the equation of the linear function represented by the table below in slope-

intercept form.


y=Mx+B

Answer 1

y = x + 4

Explanation:

Let the equation of the linear function represented by the table is,

`y-y_1=m(x-x_1)`

where m = slope of the line

And this line passes through the points
`(x_1,y_1)` and
`(x_2,y_2)`

Slope of the given line =
`(y_2-y_1)/(x_2-x_1)`

From the given table two points lying on the function are (-4, 0) and (1, 5).

Slope 'm' =
`(5-0)/(1+4)` = 1

Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,

y - 5 = (x - 1)

y = x + 5 - 1

y = x + 4