Answer:
[tex]y=-\frac{1}{2}+7\frac{1}{2}[/tex]
Step-by-step explanation:
Let
x ----> the time in hours
y ----> the height of the candle in inches
we have the points
(1,7) and (4,5.5)
step 1
Find the slope m
[tex]m=(5.5-7)/(4-1)\\ m=-1.5/3=-0.5[/tex]
step 2
Find the equation of the line into slope point form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-0.5\\ (x1,y1)=(1,7)[/tex]
substitute
[tex]y-7=-0.5(x-1)\\ y-7=-0.5x+0.5+7[/tex]
[tex]y=-0.5+7.5[/tex]
[tex]y=-\frac{1}{2}+7\frac{1}{2}[/tex]
