Answer:
Given that,
To find an equation of the line that passes through the points (6, 5) and (7,7).
Explanation:
we know that,
The equation of the line that passes through the points (x1,y1) and (x2,y2) is of the form,
[tex]\frac{y-y1}{y2-y1}=\frac{x-x1}{x2-x1}[/tex]x1=6 , y1=5
x2=7, y2=7
Substitute the values we get,
[tex]\frac{y-5}{7-5}=\frac{x-6}{7-6}[/tex][tex]\frac{y-5}{2}=\frac{x-6}{1}[/tex]Solving this we get,
[tex]y-5=2x-12[/tex][tex]y=2x-12+5[/tex][tex]y=2x-7[/tex]The required equation of the line is,
[tex]y=2x-7[/tex]