Answer:
y = 1/5 x + 12/5
Step-by-step explanation:
We are looking for the equation of a line.
We satart with the slope-intercept form of the equation of a line.
y = mx + b
We need to find m, the slope, and b, the y-intercept.
The given line is y = 1/5 x - 3.
Its slope is 1/5.
Parallel lines have equal slopes, so the slope we need is also 1/5.
Now we have for our line
y = 1/5 x + b
Now we find b.
We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.
2 = 1/5 * (-2) + b
10 = -2 + 5b
12 = 5b
b = 12/5
Now that we know the y-intercept, we can write the equation of the line.
y = 1/5 x + 12/5
