Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
You can first isolate the "y" in the given equation
2x - y = 3 Subtract 2x on both sides
-y = 3 - 2x Divide -1 on both sides to get "y" by itself
y = -3 + 2x or y = 2x - 3
For lines to be parallel, their slopes have to be the same.
The given line's slope is 2, so the parallel line's slope is also 2.
y= mx + b
y = 2x + b
To find "b", plug in the point (-1,4) into the equation
y = 2x + b
4 = 2(-1) + b
4 = -2 + b Add 2 on both sides
6 = b
y = 2x + 6