To find the equation in slope-intercept form (y = mx + b), we need to calculate the slope (m) and the y-intercept (b) using two points from the table.
Let's use the first and third data points (2, 14) and (6, 32):
Slope (m) = (32 - 14) / (6 - 2) = 18 / 4 = 9/2
Now we can use the slope and one of the points to find the y-intercept (b).
Using point (2, 14) and slope m = 9/2:
14 = 9/2 * 2 + b
14 = 9 + b
b = 14 - 9
b = 5
Therefore, the equation in slope-intercept form for the growth of the tree's height over time is:
y = 9/2x + 5
So the correct answer is option 3) y=9/2x+5.
The table shows the height of a tree as it grows. What equation in slope I intercept form gives trees height at any time ?
Time. Height
(Months) (Inches)
2. 14
4. 23
6. 32
8. 41
1) y=9x+2
2) y=9/2x
3) y=9/2x+5
4) y=5x+9/2
1 answer