Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship ​

The slope of the line is:

The y-intercept b = 3

The slope-intercept equation of the line is:  

Step-by-step explanation:

Taking two points from the given graph

(0, 3) and (6, 0)

Determining the slope m

The slope between (0, 3) and (6, 0) using the formula

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula

Thus, the slope of the line is:

Determining the y-intercept (b)

The slope-intercept form of the line equation is given by

where

From the graph, we can figure out the y-intercept by checking the value of y at x = 0.

If we closely check the graph, at x = 0, the value of y = 3

Therefore, the y-intercept b = 3

Slope-intercept Equation

We already know that the slope-intercept form of the line equation is

substituting b = 3 and m = -1/2

Therefore, the slope-intercept equation of the line is:  

The graph is also attached below.

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: