Given:
Two points are,
[tex](a,6),(0,1)[/tex]
The slope is,
[tex]m=1[/tex]
To find:
The value of a.
Explanation:
Using the slope-intercept form of a line equation,
[tex]y=mx+c[/tex]
Substituting y-intercept c = 1 and slope m = 1 we get,
[tex]y=(1)x+1[/tex]
Then substituting the first point we get,
[tex]\begin{gathered} 6=a+1 \\ a=6-1 \\ a=5 \end{gathered}[/tex]
The value of a is 5.
Final answer:
The value of a is 5.
