The relationship between the two lines will be that the two lines will intersect at the point (-2, -4).
What is the equation of a line?
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 constant.
Given to us
Table F
x 1 2 4 5
y 2 4 8 10
Table G
x 3 5 7 9
y 1 3 5 7
When we plot the given points on the graph we will find that all the points are in a linear relationship. If we start to draw a line connecting all the points of the tables.
To find the relationship of the points, assuming it to be linear, we will find the slope of the lines, therefore,
In table F,
The slope of the black line, m₁ = 2
The value of the constant, c₁ = 0
Equation of the black line, y= m₁x + c₁
In table G,
The slope of the purple line, m₂ = 1,
The value of the constant, c₂ = -2
Equation of the black line, y= m₂x + c₂
As we can see in the graph, the two lines are drawn along with the points.
The relationship between the two lines will be that the two lines will intersect at the point (-2, -4).
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