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 have to have the same slope.
y = 3x - 5 m = 3
The given line's slope is 3, so the parallel line's slope is also 3. Plug this into the equation:
y = mx + b
y = 3x + b To find b, plug in the point (1, 2) into the equation
2 = 3(1) + b
2 = 3 + b Subtract 3 on both sides to get "b" by itself
2 - 3 = 3 - 3 + b
-1 = b
y = 3x - 1
