Question

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y + 1 = 0?

4x - y - 6 = 0
4x + y - 6 = 0
4x + y + 6 = 0

Answer 1

first write the equation in the question in slope/intercept form which is

y = -4x - 1

what is the slope of this line ?

Answer 2

-4?

Answer 3

yes
now the line also goes through the point (1,2)

so we put x1 = 1 and y1 = 2 in the equation

y - y1 = -4(x - x1)

Answer 4

y - 2 = -4(x - 1)

rearrange this a nd you should get one of the options

Answer 5

y - 2 = -4(x - 1)
y - 2 = -4x + 4

can you continue?

Answer 6

so 4x+y-6=0?

Answer 7

yes