# What is the equation of the line with slope # m= -1# that passes through # (3,4) #?

##### 1 Answer

Jan 14, 2016

y + 4x - 7 = 0

#### Explanation:

The equation of a straight line is y - b = m(x - a ) where m represents the gradient (slope ) and (a , b ) the coordinates of a point on the line.

Here m = -1 and (a , b ) = (3 , 4 )

hence y - 4 = - 1 (x - 3 )

ie. y - 4 = - x + 3 ⇒ y + x - 7 = 0 is the equation of the line.