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Answer:
Step-by-step explanation:
hello :
this line passes through the origin so an equation is : y=ax
a is the slope a = 2/3
so : y=(2/3)x
the point lies on the line is : (6,4) because when x=6 y=(2/3)(6) =12/3 =4
The point lies in the line will be (6, 4). The correct option is D.
What is an equation of the line?
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The general equation of a straight line is
y = mx + c,
where m is the slope of the line and c is the y-intercept.
It is given that the xy-plane has a slope of 2/3 and passes through the origin. This line passes through the origin so an equation is: y=ax
Where a is the slope a = 2/3
The equation of the line will be written as:-
y=(2/3)x
The point lies on the line is : (6,4) because when x=6 y=(2/3)(6) =12/3 =4
Therefore, the point lies in the line will be (6, 4). The correct option is D.
To know more about the equation of the line follow
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