Question

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

Answer 1

the parallel line to y=-x+6, must have same gradient so it will look like that y=-x+c, lets find c:
line y=-x+c passes through (-4,2) so if u subsitute it to equation of searched line y=-x+c, u will get:
2=-(-4)+c
2=4+c
2-4=c
c=-2, so
y=-x-2