Question

What is the equation of the line with slope `m= -4/7` that passes through `(3/4,9/7)`?

Answer 1

`color(maroon)("Equation in Standard Form is ") color(indigo)(4x + 7y = 12`

Explanation:

![https://www.tutorpace.com/algebra/linear-equations-online-tutoring]()

`color(crimson)("Point - Slope Form " (y - y_1) = m * (x - x_1)`

`(x_1, y_1) = (3/4, 9/7), m = -(4/7)`

`y - 9/7 = -(4/7) * (x - 3/4)`

`(7y - 9) / cancel 7 = -(4x - 3) / cancel 7`

`7y + 4x = 9 + 3 = 12`

`color(indigo)(4x + 7y = 12`