Question

What is the equation of the line with slope `m= -2/7` that passes through `(3/4,-1/7)`?

Answer 1

`4x+14y=1`

Explanation:

Use the formula `y-y_1=m(x-x_1)` where m is the gradient and `(x_1,y_1)` is any point on the line and you get:

`y + 1/7 = -2/7(x-3/4)`

`7y+1=-2(x-3/4)`

`7y+1=-2x+3/2`

`14y+2=-4x+3`

`4x+14y=1`