Answer:
y= x -7
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c (also known as slope-intercept form), where m is the gradient and c is the y-intercept.
Given that the slope is 1, m= 1.
Substitute the value of m into the equation:
y= 1x +c
y= x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= -1,
-1= 6 +c
c= -1 -6 <em>(</em><em>-6</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
c= -7
Thus, the equation of the line is y= x -7.
