Answer:
[tex]y=x-2[/tex]
Step-by-step explanation:
Slope-intercept form is [tex]y=mx+b[/tex], so if [tex]m=1[/tex], then we have [tex]y=x+b[/tex] and we'll need to plug in [tex](7,5)[/tex] to get [tex]b[/tex], the y-intercept:
[tex]y=x+b[/tex]
[tex]5=7+b[/tex]
[tex]-2=b[/tex]
Therefore, the final equation in slope-intercept form is [tex]y=x-2[/tex]