Question

pertises 11.4. complete the following: Find the locus of points whose: (a) ordinate is 1 greater than twice the abscissa.

Answer 1

Let y be the ordinate and x be the abcissa.

Twice the abcissa is represented by the algebraic expression 2x. One more than twice the abcissa is 2x+1.

Since the ordinate is 1 greater than twice the abcissa, then:

`y=2x+1`

This is the equation of a straight line with slope 2 and y-intercept 1.