The table shows the height of a tree as it grows what equation in slope intercept form gives the tree height at any time 2 months 14 in 4 months 23 in 6 months 32 in 8 months 41 in

Answer 1

To find the equation in slope-intercept form, we need to determine the slope and the y-intercept.

We can see that the tree grows 9 inches every 2 months. Hence, the slope of the equation is 9.

To find the y-intercept, we can use one of the given data points. Let's use the data point (2, 14), which represents the tree's height after 2 months.

Using the slope-intercept form of a linear equation y = mx + b, we can substitute the values into the equation to solve for the y-intercept:

14 = 9(2) + b
14 = 18 + b
b = -4

Therefore, the equation in slope-intercept form representing the tree's height at any time is:

y = 9x - 4