Answer:
[tex]a=7\\b=7\\When\ x=1, \ y=-1[/tex]
Step-by-step explanation:
The line passes through the point [tex](3,3)\ and\ (8,13)[/tex].
[tex]Slope=\frac{13-3}{8-3}=\frac{10}{5}=2[/tex]
Equation of line: Line having slope[tex]=2[/tex] and passing through [tex](3,3)[/tex]
[tex]y-3=2(x-3)\\y-3=2x-6\\2x-y=3[/tex]
11c) [tex](5,a)[/tex] is on the line
[tex]2\times 5-a=3\\10-a=3\\a=10-3=7[/tex]
[tex](b,11)[/tex] is also on the line
[tex]2\times b-11=3\\2b=3+11\\2b=14\\b=7[/tex]
When [tex]x=1[/tex]: Substitute the value of [tex]x[/tex] in the equation of line.
[tex]2\times 1-y=3\\2-y=3\\y=2-3=-1[/tex]
