Answer:
y= -x
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{7 - ( - 6)}{ - 7 - 6} [/tex]
[tex] = \frac{7 + 6}{ - 13} [/tex]
[tex] = \frac{13}{ - 13} [/tex]
[tex] = - 1[/tex]
Substitute m= -1 into the equation:
y= -1x +c
y= -x +c
To find the value of c, substitute a pair of coordinates.
When x= -7, y= 7,
7= -(-7) +c
7= 7 +c
c= 7 -7
c= 0
Thus, the equation of the line is y= -x.
