Question

Math practice please help

Answer 1

`y=-(1)/(2)+7(1)/(2)`

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

`m=(5.5-7)/(4-1)\\ m=-1.5/3=-0.5`

step 2

Find the equation of the line into slope point form

`y-y1=m(x-x1)`

we have

`m=-0.5\\ (x1,y1)=(1,7)`

substitute

`y-7=-0.5(x-1)\\ y-7=-0.5x+0.5+7`

`y=-0.5+7.5`

`y=-(1)/(2)+7(1)/(2)`