Question

line passes through the points (3 comma 19 )and (7 comma 23 ). Write a linear function rule in terms of x and y for this line.

Answer 1

`y=1x+16`

Explanation:

Two given points are (3,19) and (7,23)

f(x)=mx+b

slope is m and b is the y intercept

`slope m =(y_2-y_1)/(x_2-x_1) =(23-19)/(7-3) =1`

slope m= 1 (3,19) is (x1,y1)

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

`y-19=1(x-3)`

`y-19=1x-3`

Add 19 on both sides

`y=1x+16`