170k views
2 votes
I need answers to 6a and 6b. This is for my homework :,)

I need answers to 6a and 6b. This is for my homework :,)-example-1
User Emem
by
7.5k points

1 Answer

5 votes

The system of equations has 3 cases

1. y = ax + b, y = ax + c

Since the coefficient of x and y are the same, and the y-intercepts are different, then

The two lines are parallel

2. y = ax + b, y = dx + c

Since the 2 lines have different coefficients of x, then

The two lines are intersected

3. y = ax + b, y = ax + b

Since the two lines have equal coefficients of x and equal y-intercepted, then

The two lines are coincide (same line)

6. a)

Since the system of equations is


\begin{gathered} y=2x+3 \\ y=12x-2 \end{gathered}

The coefficients of x not equal

Then from case 2 above

The two lines are intersected

6.b

Since the system of equations is


\begin{gathered} y=13x+2 \\ y=13x-2 \end{gathered}

The coefficients of x are equal

The y-interceptes not equal

Then from case 1 above

The two lines are parallel

User Eonema
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.