Answer:
y = x - 6
Explanation:
The slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]where m = the slope of the line
b = y-intercept of the line
Given the slope(m) as 1 and the point (7, 1) where x = 7 and y = 1, we'll substitute these values into our slope-intercept equation and solve for b as seen below;
[tex]\begin{gathered} y=mx+b \\ m=1,x=7,\text{ and y = 1} \\ 1=(1)(7)+b \\ 1=7+b \\ b=1-7 \\ b=-6 \end{gathered}[/tex]Since we have m = 1 and b = -6, the equation of the given line in slope-intercept form can now be written as;
[tex]\begin{gathered} y=(1)x-6 \\ y=x-6 \end{gathered}[/tex]