Question

Two lines are parallel. The equation for the first line is y=-3x+5. Which of the following can't be the equation of the second line?

A. y=-3x+2
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 Two lines are parallel. The equation for the first line is y=-3x+5. Which of the following can't be the equation of the second line?
A. y=-3x+2
B. x-3y=-3
C. 3x+y=-6
D. 6x+2y=2 @Mathematics

Answer 1

so we know that y = -3x +5

choice A. y=-3x+2 is right so can being the equation of second line

choice B. x-3y =-3
-3y = -3-x

3y = 3+x

y = 3/3 +x/3

y = 1 + x/3 so this equation not can being the equation of second line sure

Answer 2

A common form of a line equation is:
y=mx + b , where m is the slope. If two lines are parallel they have equal slopes. So first step is to transform these equations to common form:
A) y=-3x+2
B) x-3y =-3
-3 y =- x-3 / :(-3)
y = 1/3 x +1, 1/3 ≠ -3
C) 3x + y = -6
y = -3x - 6
D) 6x + 2 y = 2
2y= - 6x+2 /:2
y = -3x +1
Answer:B)