Question

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

4x - y = 13
4x + y = 13
4x + y = -13

Answer 1

for a line to be parallel, it must have the same slope. so,lets find slope of.this line. we know that y = mx + b and m is slope. so
4x + y - 2 = 0
y = -4x + 2

so slope is -4

we know that point slope of a line is y - y1 = m (x - x1)

plug in the given point and slope
y - (-3) = -4 (x - 4)
y + 3 = -4x + 16
y = -4x + 13

convert to standard form
4x + y = 13