Question

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y=1/5x+4
y=1/5x+12/5
y=-5x+4
y=-5x+12/5

Answer 1

Answer:

y = (1/5)x + (12/5)

Step-by-step explanation:

y = mx +b

If lines are parallel, then slope (m) of one line equal to slope of another line, but y-intercepts (b) are different. let plug in (- 2, 2)

We have 2 different slopes (1/5) and (- 5)

First scenario: if m = 1/5

y - 2 = (1/5)(x -(-2))

y = (1/5)x + (2/5) + 2 ===> y = (1/5)x + (12/5) and this is the answer.

Let's check second scenario when m = - 5

y - 2 = - 5(x - (-2)) ===> y = - 5x - 8 not an answer.