Question

What is the equation of the line that passes through the point (4, -6) and has a

slope of -5/2?

Answer 1

In slope-intercept form:

`y = - (5)/(2) x + 4`

In standard form:

`5x + 2y = 8`

Explanation:

`- 6 = - (5)/(2) (4) + b`

`- 6 = - 10 + b`

`b = 4`

`y = - (5)/(2) x + 4`

`- 2y = 5x - 8`

`- 5x - 2y = - 8`

`5x + 2y = 8`