Question

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

Answer 1

`color(maroon)(16x + 49y = 75`

Explanation:

`y - y_1 = m * (x - x_1)`

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

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

`(7y - 9 ) / cancel7 = -(4/7) *(4x - 3) / cancel7`

`49y - 63 = -16x + 12`

`color(maroon)(16x + 49y = 75`