Question

What is the equation of the line with slope `m= -3/17` that passes through `(11,1)`?

Answer 1

`3x+17y=50`

Explanation:

From the given
slope `m=-3/17` and `(11, 1)`

Use Point-Slope Form

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

`y-1=(-3/17)(x-11)`
Multiply both sides of the equation by `17`
`17(y-1)=17(-3/17)(x-11)`
`17y-17=-3(x-11)`
`17y-17=-3x+33`

The required equation is

`3x+17y=50`

God bless....I hope the explanation is useful.