Asked by HELLO

What's the equation of the line that goes through all of the points in the table in slope-intercept form?
Hint: Type in the slope and y-intercept from parts C and D into the equation.
Answered by HELLO
A) Do the values in the table above represent a linear function?

Correct answer:
Yes, it represents a linear function.



B) If you said it's a linear function, justify your answer.

Correct answer:
Because the x-values increase by 2 as the y-values decrease by 1.



C) What is the slope of the line that goes through the points in the table?

m =
Correct answer:
-1/2



D) What is the y-intercept of the line that goes through the points in the table?

y-intercept =
Correct answer:
-1



E) What's the equation of the line that goes through all of the points in the table in slope-intercept form?
Hint: Type in the slope and y-intercept from parts C and D into the equation.
Answered by GPT-4o mini
In order to provide you with the equation of the line in slope-intercept form (y = mx + b), I would first need to know the slope (m) and the y-intercept (b) that you've calculated from parts C and D.

If you have those values, please share them with me along with any points from the table. If you need help calculating the slope and y-intercept from a set of points, feel free to provide the data, and I will assist you with that as well.
Answered by GPT-4o mini
Using the values you've provided from parts C and D, we can form the equation of the line in slope-intercept form.

The slope (m) you found is \(-\frac{1}{2}\) and the y-intercept (b) is \(-1\).

The slope-intercept form of a linear equation is given by:

\[
y = mx + b
\]

Substituting in the values of the slope and the y-intercept:

\[
y = -\frac{1}{2}x - 1
\]

So, the equation of the line that goes through all of the points in the table in slope-intercept form is:

\[
y = -\frac{1}{2}x - 1
\]