Answer:
[tex]y=\frac{5}{4} x+4[/tex]
Step-by-step explanation:
Using y = mx+c
m= [tex]\frac{y^{2}-y^{2}}{x^{2}-x^{1}}[/tex]
m=[tex]\frac{14-9}{8-4}[/tex]
m=[tex]\frac{5}{4}[/tex]
c=y-intercept
The question says that at 8 weeks the maple had grown 14 inches
By using y=mx+c we can find the y-intercept using one of the points as the x and y values and by using the slope
[tex]14=8\times\frac{5}{4} +c[/tex]
14=10+c
14-10=10+c-10
4=c
y-intercept = 4
Therefore the full equation is
[tex]y=\frac{5}{4} x+4[/tex]
