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.
<h3>What is the equation of a line?</h3>
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:
brainly.com/question/21511618
#SPJ1
