What is the equation of the line that passes through the points (-3,-2) and (6,-8)

Step-by-step explanation:

As we move to the right from (-3,-2) to (6,-8), x increases by 9 and y decreases by 6.  Thus, the slope of the line connecting these two points is

m = rise / run = -6 / 9 = -2/3.

Starting with the slope-intercept form of the equation of a straight line,

y = mx + b, and substituting -2/3 for m, -8 for y and 6 for x, we get the following equation, which enables us to solve for the y-intercept, b:

-8 = (-2/3)(6) + b, or

-8 = -4 + b

Then b = -4, and the desired equation is

y = (-2/3)x - 4.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: