Write the equation of the line which passes through (–4, 2) and is parallel to y = –x + 6 in slope-intercept form.

Question

anonymous · Answer

@Aditya790  Can You Help Me Please?

anonymous · Answer

The slope of required line = 1, which is parallel to line y = -x + 6
As the lone passes through (-4,2) It can be written as (y-2)= 1.(x+4)
The required line is y = x + 6

anonymous · Answer

Is This Correct?

anonymous · Answer

parallel lines have the same slopes
y = -x + 6 has a slope of -1

so the equation of the line you are looking for has to have the slope of -1 and pass through -4,2

y = -1x + b

Substitute x = -4, y = 2 to find b, and there you got the equation for the line.