Find the equation of a line.

Question

Find the equation of a line parallel to -5x + y= 2 that contains the points (5,-2) write the equation in slope intercept form

Answer 1

First let's write the given equation in slope-intercept form:

$-5x+y=2$

$y=5x+2$

Parallel lines have equal slopes, so we know the second line has a slope of 5 and we can use the given point (5,-2) to write the equation of the parallel line. Remember m=slope:

$y=mx+b$

$-2=5(5)+b$

$-2=25+b$

$b=-27$

The equation of the parallel line is $y=5x-27$