The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time? Time (months) Height (inches) 2 14 4 23 6 32 8 41 (1 point) Responses y = 9x + 2 y = 9 x + 2 y = x + 5 y = Image with alt text: start fraction 9 over 2 end fraction x + 5 y = x y = Image with alt text: start fraction 9 over 2 end fraction x y = 5x +
To find the equation in slope-intercept form, we need to determine the slope and y-intercept from the given data.
We can see that the height of the tree increases by 9 inches every 2 months. This means that the slope is 9/2.
From the data, we can also see that when the time is 0 months, the height of the tree is 5 inches. This gives us the y-intercept of the equation.
Therefore, the equation in slope-intercept form is: y = (9/2)x + 5