In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
y=5x+2
point (-2,1) x1 = -2 y1 = 1
equation of the line parallel (slope-intercept form) = ?
Step 02:
y=5x+2 ===> m = 5
Slope of the parallel line, m’
m’ = m
m' = 5
Point-slope form of the line
(y - y1) = m (x - x1)
(y - 1) = 5 (x - (-2))
y - 1 = 5 (x + 2)
y = 5x + 10 + 1
y = 5x + 11 ====> Slope-intercept form of the line
The answer is:
The equation of the line parallel (slope-intercept form) is y = 5x + 11