Given:
Given that the table with values of x and y.
We need to determine the relationship between x and y.
Slope:
The slope of the relation can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points (2,11) and (4,9), we get;
[tex]m=\frac{9-11}{4-2}[/tex]
[tex]m=\frac{-2}{2}[/tex]
[tex]m=-1[/tex]
Thus, the slope of the relation is m = -1.
y - intercept:
The y - intercept of the relation is the value of y when x = 0.
Hence, from the table, it is obvious that when x = 0, the value of y is 13.
Thus, the y - intercept of the relation is b = 13.
Relationship between x and y:
The relationship between x and y can be determined using the formula,
[tex]y=mx+b[/tex]
Substituting m = -1 and y =13, we get;
[tex]y=-x+13[/tex]
Thus, the relationship between x and y is [tex]y=-x+13[/tex]
