Question

Given the point (5 , -7), and the slope m = 6, write the equation for a line in point-slope form.

Answer 1

The point slope form of straight line with slope m and passing through the point (a,b) is

$(y-b)=m(x-a)$

Given slope of the line is m=6 and it passes through the point (5,-7).

Therefore,

a=5

b=-7

m=6

Putting these values in the first equation, we have,

$(y+7)=(x-5)$

This is the required equation.