Question

Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?

Answer 1

`x+y=2`

Explanation:

Given : A line with slope –1 through the point (–3, 5).

To find : Which equation is in standard form and represent a line ?

Solution :

The standard slope form is
`(y-y_1)=m(x-x_1)`

Where, m is the slope of line m=-1

`(x_1,y_1)=(-3,5)` is the point through which line passes.

Substitute in the equation,

`(y-5)=-1(x-(-3))`

`(y-5)=-1(x+3)`

`y-5=-x-3`

`y+x=5-3`

`x+y=2`

Therefore, The standard form is
`x+y=2`