Q. 15.0( 2 Votes )
Find the equation of the line joining (1, 2) and (2, 4). In this, find the sequence of y coordinates of those points with the consecutive natural numbers 3, 4, 5, … as the x coordinates.
Answer :
Slope of the line 
⇒ Slope of the line = 2
Equation of line :
y - 2 = 2(x - 1)
⇒ 2x - y = 0
⇒ y = 2x
Value of y for consecutive natural numbers :
Rate this question :
Relationship Between Coefficients and Zeros44 mins
Quiz on Important Algebra Questions26 mins
Some Interesting Proofs in Geometry36 mins
Important Algebra Questions46 mins
Quiz on Number of Solutions of an Equation24 mins
Section Formula30 mins
Interactive Quiz: Algebra Important Questions38 mins
Genius Quiz | NTSE Questions Algebra27 mins
Interactive Quiz: Nature of Roots51 mins
Previous Year RMO Questions43 mins
Prove that for any point on the line intersecting the axes in this picture, the sum of the x and y coordinates is 3.
In the picture, ABCD is a square. Prove that for any point on the diagonal BD, the sum of the x and y coordinates is zero.
Prove that for any number x, the point (x, 2x + 3) is on the line joining (–1, 1), (2, 7).
Kerala Board Mathematics Part-2Find the equation of the line joining (1, 2) and (2, 4). In this, find the sequence of y coordinates of those points with the consecutive natural numbers 3, 4, 5, … as the x coordinates.
Kerala Board Mathematics Part-2Find the equation of the line joining (–1, 3), (2, 5). Prove that if (x, y) is a point on this line, so is (x + 3, y + 2).
Kerala Board Mathematics Part-2The x coordinate of a point on the slanted (blue) line in the picture is 3.
i) What is its y coordinate?
ii) What is the slope of the line?
iii) Write the equation of the line.
Kerala Board Mathematics Part-2Prove that the points (1, 8), (2, 5), (3, 7) are on the same line.
Kerala Board Mathematics Part-2Find the coordinates of two other points on the line joining (–1, 4) and (1, 2).
Kerala Board Mathematics Part-2