Question

Would be much appreciated if someone could help me!!

Answer 1

`\boxed{ \rm{y = x + 6}}`

Explanation:

As you can see the graph is going upwards, it means it has a positive slope. If we observe the general form of straight line:

`y = mx + c`

m is the slope of the line and coefficient of x in this equation. So if slope is positive, then coefficient of x should be positive as well.

As the only one among the options with a positive coefficient of x (positive sign of slope) is
`y\:=\:x \:+ \: 6`, the better line trend will y = x + 6 (ans)

Extra point:

As u can notice the line starts from a certain point in y-axis rather than original, this point is known as y-intercept or c in the equation. As it is also positive, y = x + 6 is the best possible answer for this trend.

Answer 2

Answer: A. y = x + 6

Explanation:

The line that would make a better trend line for the data is option A. The line is trending upwards, so a line with a negative slope (like option B) does not fit the data.