Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 4, so the parallel line's slope is also 4.
y = 4x + b
To find "b", plug in the point (-3,5) into the equation.
y = 4x + b
5 = 4(-3) + b
5 = -12 + b Add 12 on both sides
17 = b
y = 4x + 17