Given:
Student's verbal score, y, based on the student's math score, x is
[tex]y=0.4433x+307.68[/tex]
To find:
The meaning of slope of this equation in terms of the context of the problem.
Solution:
Slope intercept form of a linear equation is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
The given equation is
[tex]y=0.4433x+307.68[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=0.4433[/tex]
Therefore, the slope of the linear equation is 0.4433. It means, student's verbal score, y increased by 0.4433 if the student's math score, x increased by 1.