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Ostrovityanka [42]
3 years ago
7

What is the relationship between x and y

Mathematics
1 answer:
solong [7]3 years ago
3 0

<u>Given</u>:

Given that the table with values of x and y.

We need to determine the relationship between x and y.

<u>Slope</u>:

The slope of the relation can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (2,11) and (4,9), we get;

m=\frac{9-11}{4-2}

m=\frac{-2}{2}

m=-1

Thus, the slope of the relation is m = -1.

<u>y - intercept:</u>

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.

<u>Relationship between x and y:</u>

The relationship between x and y can be determined using the formula,

y=mx+b

Substituting m = -1 and y =13, we get;

y=-x+13

Thus, the relationship between x and y is y=-x+13

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