y = 2x - 7
Slope (m) formula: y2 - y1 / x2 - x1
y2 - y1 / x2 - x1
7 - 5 / 7 - 6 = 2/1 = 2
This is our slope.
y = mx + b
y = 2x + b
Now we use either one of our points to find b.
(7, 7)
y = 2x + b
7 = 2(7) + b
7 = 14 + b
-14 -14
-7 = b
y = mx + b
y = 2x - 7
Check your answer using (6, 5) or (7, 7):
y = 2x - 7
7 = 2(7) - 7
7 = 14 - 7
7 = 7
This statement is correct
y = 2x - 7
5 = 2(6) - 7
5 = 12 - 7
5 = 5
This statement is correct
Therefore, our final answer is y = 2x - 7
Hope this helps!