Question

What is the equation of the line in standard form that passes through the point (3, –2) and is parallel to the line y = –4x + 1?

Answer 1

x + 4y = 10

x – 4y = –10

4x – y = –10

4x + y = 10

these are my choices

Answer 2

Question: y = 4x – 1

y=mx+b
m is the slope

y = 4x – 1
slope = 4

Parallel lines have the same slope.
Slope of the parallel line is = 4

Question: passes through point (2, 3)

Formula: y - y1 = m (x - x1)

m is slope = 4
x1 = 2
y1 = 3

Equation: y-3=4(x-2)
Multiply the brackets
4 multiply X = 4x
4 multiply -2 = -8

New equation: y-3=4x-8

Add 3 from both sides
Left Side: -3 + 3 = 0
Right side: -8 + 3 = -5