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Maths-

General

Easy

Question

Which of the following is an equation of the line in the $x y$ -plane that contains the points $left parenthesis 13 right parenthesis$ and $left parenthesis 515 right parenthesis ?$

$y = 3 x$
$y = 2 x + 5$
$y = x + 2$
$y = \frac{1}{3} x$

The correct answer is: $y equals 3 x$

A line is a one-dimensional figure, which has length but no width. It is made of a set of points that has 2 coordinates viz. x & y coordinates. The general equation of a straight line is y = mx + c.
In the given question, we will substitute the values of x & y coordinates of 2 points (1,3) and (5,15) in the given options and find the correct solution where LHS = RHS
In the adjacent table, we substitute the values of x & y in each equation and check whether LHS = RHS.

Final Answer:-
Since, the coordinates of both points given in the question satisfy the equation in Option A,
Option A i.e. y = 3x is the correct answer.
Note:-
During actual exam, there is no need to solve for all the 4 options. Once, Option A satifies the condition given in the question, student can move forward to solve the next question to save time.

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