Question

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

Answer 1

The answer is:

y-5=-1(x-3)

Answer 2

Answer:

$x+y=2$  

Step-by-step 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 $x+y=2$