Question

What is the equation of the line that passes through the point (6,1) and has a slope of -5/6?

Answer 1

Point-slope form: y - 1 = -(5/6)(x - 6)

Slope-intercept form: y = -(5/6)x + 6

Standard form: 5x + 6y = 36

Explanation:

`y - 1 = - (5)/(6) (x - 6)`

`y - 1 = - (5)/(6) x + 5`

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

`- 6y = 5x - 36`

`- 5x - 6y = - 36`

`5x + 6y = 36`

Answer 2

“What is the equation of the line that passes through the point (6, 1) and has a slope of -5/6?”

So the equation is y = (-5/6) x + 6.