Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
y = 5x - 7 The slope is 5, so the parallel line's slope is also 5.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = 5x + b To find b, plug in the point (1, 11) into the equation, the isolate/get the variable "b" by itself in the equation
11 = 5(1) + b Subtract 5 on both sides to get "b" by itself
11 - 5 = 5 - 5 + b
6 = b
y = 5x + 6