129k views
5 votes
Part A

Consider the equation of two lines.
Line 1: -3x – 3y = 6.
The slope of the first line is
Line 2: 4x + 4y = 8.
The slope of the second line is
Part B.
What can we infer about the two lines?
PLEASE HELP

Part A Consider the equation of two lines. Line 1: -3x – 3y = 6. The slope of the-example-1
User StoriKnow
by
4.8k points

1 Answer

3 votes

Answer:

-1 ; -1 ; the two lines are parallel

Explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1 line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

User Kien Vu
by
4.6k points