Answer :
Use point-slope form.
But first let's find the slope.
(4, 2), (2, 4)
m = y2-y1/x2-x1
m = (4 - 2)/(2 - 4)
m = 2/-2
m = -1
So this is the slope, now we can plug this into the equation along with any point.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
Let's plug in point (4, 2):
y - 2 = -1(x - 4)
This can be one of your options.
Distribute -1:
y - 2 = -x + 4
Add 2 to both sides:
y = -x + 6
This can be another of your options.
Add 'x' to both sides:
x + y = 6
This can be another of your options.
But first let's find the slope.
(4, 2), (2, 4)
m = y2-y1/x2-x1
m = (4 - 2)/(2 - 4)
m = 2/-2
m = -1
So this is the slope, now we can plug this into the equation along with any point.
y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.
Let's plug in point (4, 2):
y - 2 = -1(x - 4)
This can be one of your options.
Distribute -1:
y - 2 = -x + 4
Add 2 to both sides:
y = -x + 6
This can be another of your options.
Add 'x' to both sides:
x + y = 6
This can be another of your options.
(x - x 1 ) / ( x 2 - x 1 ) = (y - y 1 ) / ( y 2 - y1 ) ;
( x - 4 ) / ( 2 - 4 ) = ( y - 2 ) / ( 4 - 2 ) ;
( x - 4 ) / -2 = ( y - 2 ) / 2 ;
( x - 4 ) / - 1 = y - 2 ;
- x + 4 = y - 2 ;
-x - y + 6 = 0 ;
x + y - 6 = 0 ;
( x - 4 ) / ( 2 - 4 ) = ( y - 2 ) / ( 4 - 2 ) ;
( x - 4 ) / -2 = ( y - 2 ) / 2 ;
( x - 4 ) / - 1 = y - 2 ;
- x + 4 = y - 2 ;
-x - y + 6 = 0 ;
x + y - 6 = 0 ;