The equation of line parallel to y=-5x+2 through: (-1,4)

Further explanation:
When the equation of line is given in slope-intercept form, the coefficient of x is the slope of the line.
Let
m1 be the slope of given line
and
m2 be the slope of line parallel to given line
Given equation of line is:


The parallel lines have equal slopes.
The equation of new line can be written as:

For finding the value of b, lets put the point (-1,4) in equation

The equation of line parallel to y=-5x+2 through: (-1,4)

Keywords: Parallel lines, Slope-intercept form
Learn more about point-slope form of equation of line at:
#LearnwithBrainly