The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have the line y = 2x - 5.
The parallel lines have the same slope. Therefore we have y = 2x + b.
Put the coordinates of the point B(8, 6) to the equation:
6 = 2(8) + b
6 = 16 + b subtract 16 from both sides
-10 = b → b = -10
The equation of a line: y = 2x - 10.
Put the coordinates of the point A(n, 4) to the equation:
4 = 2(n) - 10 add 10 to both sides
14 = 2n divide both sides by 2
7 = n → n = 7
