Answer:
The height will be 17.24 feet.
Step-by-step explanation:
Given points (4,9) and (8,12) and you are required to find point (15,y) where y is the height after 15 years.
Find the slope formed by a line produced by joining these points
[tex]m=y_2-y_1 /x_2-x_1\\\\\\m=12-9/8-4\\\\m=3/4[/tex]
Then using this value of slope,find the value of y
[tex]\frac{y-12}{15-8} =\frac{3}{4} \\\\\\4(y-12)=3(15-8)\\\\\\4y-48=45-24\\\\4y=45-24+48\\\\\\4y=69\\\\y=69/4\\\\y=17.24[/tex]
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Slope of a graph : https://brainly.com/question/10466718
Keyword : slope, height
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