Question

Which of these lines would make a better trend line for this data?

Answer 1

option A

Explanation:

Slope-Intercept Form:

The slope intercept form of a linear equation is expressed as:
`y=mx+b\text{ where }m\\e0`

The slope described how the y value changes as x changes. If it's positive then that means as x increases, y increases and if it's negative then that means as x increases, y decreases.

Knowing this information, there is only one reasonable option in this case. Given the equation:
`y=x+6`, we know that it has a slope of positive one, meaning it's increasing. Given the equation:
`y=-(3)/(4)x+4`, we know that it has a slope of negative three fourths, meaning it's decreasing.

The graph shown is increasing so option A is the only reasonable option in this case.