Question

find the equation of the line having the given slope and containing the given point m=7/8(7,-5)

Answer 1

with the slope 7/8, we have the equation,

y = 7/8 x + c

or, 8y = 7x + 8c ............................ (1)

Now, equation (1) satisfies the point (7, -5)
So, we get,

-40 = 49 + 8c
or, c = - 89/8

Putting the value of c in (1),

8y = 7x - 8*89/8
or, 8y = 7x - 89
or, 7x - 8y - 89 = 0

Hence is the equation.