Question

What is the equation of the line with slope `m= -31/25` that passes through `(-6/5 11/10)`?

Answer 1

`color(purple)(155x + 125y -939 = 0`

Explanation:

Given : `m = -(31/25), x_1 = -(6/5), y_1 = (11/10)`

Slope point form of equation is `y - y_1 = m (x - x_1)`

`y - (11/10) = - (31/25) * (x + (6/5)`

`25y - 225 = -31x - 186/5`

`125y - 1125 = -155x - 186`

`color(purple)(155x + 125y -939 = 0`

graph{(-155x + 939) / 125 [-10, 10, -5, 5]}