Answer:
[tex]y=1x+16[/tex]
Step-by-step explanation:
Two given points are (3,19) and (7,23)
f(x)=mx+b
slope is m and b is the y intercept
[tex]slope m =\frac{y_2-y_1}{x_2-x_1} =\frac{23-19}{7-3} =1[/tex]
slope m= 1 (3,19) is (x1,y1)
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-19=1(x-3)[/tex]
[tex]y-19=1x-3[/tex]
Add 19 on both sides
[tex]y=1x+16[/tex]
