Question

A line has a slope of 6/7 and a y-intercept of -5. Which of the following is the equation of the line?

7x - 6y = -35
7x - 6y = -5
6x - 7y = 35
6x - 7y = -35

I'm honestly not sure with this, I'm thinking that it's 7x - 6y = -5.. Not sure though.

Also, could you explain how you found your answer? This would help so much..

Answer 1

y = m x + b

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept.

In this case :

b = 6 / 7

m = - 5


y = m x + b

y = ( 6 / 7 ) x + ( - 5 )

y = ( 6 / 7 ) x - 5 Multiply both sides by 7

7 y = 6 x - 35 Subtract 6 x to both sides

7 y - 6 x = 6 x - 35 - 6x

7 y - 6 x = - 35 Multiply both sides by - 1

- 7 y + 6 x = 35

6 x - 7 y = 35

Answer 2

Correction:

In this case :

m = 6 / 7

b = - 5