Question

What is an equation of the line that passes through the point (-1,4) and is parallel to the line 2x+y=1

Answer 1

Answer:

Arranging the given equation in slope-intercept form

2x + y = 1

y = -2x + 1

Clearly slope of this line is -2.

since the required line is parallel to this line

therefore slope of required line would also be -2.

Given that the required line passes through (-1,4)

so its equation would be

y - 4 = -2(x+1)

y - 4 = -2x -2

2x + y -2 = 0

The required equation of the line is 2x+y-2=0.