Line AB has an equation of a line y = 5x − 2. Which of the following could be an equation for a line that is parallel to line AB
? y = 5x + 3, y = 1 over 5x + 3, y = −5x + 3, y = −1 over 5x + 3
2 answers:
Answer:
y = 5x + 3
Step-by-step explanation:
Parallel lines have the same slope.
Your function is
y= 5x - 2
slope = 5
The line must have slope = 5.
(a) y = 5x + 3
slope = 5, ∴ Parallel.
(b) y = 1/(5x) + 3.
Not a straight line. ∴ Not parallel.
(c) y = -5x +3
slope = -5 ∴ Not parallel.
(d) y = -1/(5x )+ 3
Not a straight line. ∴ Not parallel.
The Figure below shows the graph of y = 5x -2 (black) and that of the parallel line y = 5x + 3 (green).
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