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One of the tables below contains (x, y) values that were generated by a linear function.

Part I: Determine which table contains values associated with a constant slope. Find that slope value and show the work you used to come to your decision.

Part II: Using the slope you found in Part I and the values in the table, write the equation of the linear function represented by the table you selected.

One Of The Tables Below Contains X Y Values That Were Generated By A Linear Function Part I Determine Which Table Contains Values Associated With A Constant Slo class=

Sagot :

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation for table 3 is y=(5/2)x-4.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The slope for the tables,

Table 1.

m₁ = (3-1)/(5-2) = 2/3

m₂ = (43-31)/(20-17) = 12/3 = 4

Since the slope is different the relationship is not linear.

Table 2.

m₁ = (13-10)/(2-1) = 3/1

m₂ = (34-29)/(7-6) = 5/1

Since the slope is different the relationship is not linear.

Table 2.

m₁ = (6-1)/(4-2) = 5/2

m₂ = (31-26)/(14-12) = 5/2

Since the slope is the same the relationship is linear.


The equation for table 3 will,

y = (5/2)x + c

1 = (5/2)2 + c

1 = 5 + c

c = -4

Hence, the equation for table 3 is y=(5/2)x-4.

Learn more about Equation of Line:

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