Question

2. Identify the y-intercept and calculate the value of the slope. Then tell what they each represent in thisparticular situationThe y-intercept is (replace this text with your answer) and it tells (replace this text with yourexplanation)The slope is (replace this text with your answer) and it tells (replace this text with yourexplanation)

Answer 1

The line passes through the points (0,4) and (8,8) hence the equation of the line by two point form is given by:

`\begin{gathered} (y-4)/(x-0)=(4-8)/(0-8) \\ y-4=x((1)/(2)) \\ 2y-8=x \\ y=(1)/(2)x+4 \end{gathered}`

Compare the equation with slope intercept form given by:

`y=mx+c`
`\text{Slope}=m=(1)/(2),y-intercept=c=4`

The y-intercept is 4 and it tells that the line has positive y-intecept so it cuts the y-axis at 4.

The slope is 1/2 and it tells that the line is progressively increasing since slope is positive.