Question

A line has a slope of 2 and passes through the point (1, 3). An equation of the line is A) y = x + 2 B) y = x + 1 C) y = 2x + 1 D) y = 3x - 2

Answer 1

The equation of line with given slope and points is y = 2 x + 1

Explanation:

Given as :

The slope of line is ( m ) = 2

The line passes through points ( 1 , 3 )

The equation of line is given as

y = m x + c

Now since slope of line is 2 and passing through points ( 1 , 3 )

∴ 3 = ( 2 )× ( 1 ) + c

Or, 3 - 2 = c

So c = 1

∴ The equation of line can be written as

y = 2 x + 1

Hence The equation of line with given slope and points is y = 2 x + 1 Answer