Answer:
y = 2x - 7 (first choice)
Explanation:
Equation of a line in slope-intercept form is
y = mx + b where m = slope and b = y-intercept
Parallel lines have the same slop
Line y = 2x + 3 has slope 2
So the parallel line has also slope 2 and is of the form y = 2x + b
To find b, sub for y and x using the given point:
1 = 2(4) + b
⇒ 1 = 8 + b
Subtract 8 from both sides
1 - 8 = 8 - 8 + b
- 7 = b
rewritten as b = -7
So equation of line is y = 2x - 7