Equation of Parallel Lines

Graph a line that goes through the point (-4, 2) and is parallel to y = 5x - 3?

Slopes of parallel lines are...

• opposite reciprocals.

• opposites.

• the same.

• always 7.

2. Graph a line that is parallel to the one shown, and goes

3. through (2, 2).

Which of the following equation is parallel to

y = x + 3 and y = x ?

• y = 5x – 1

• y = 2x + 3

• y = x + 2

• y = 2

7. Write down an equation which is also parallel to

y = x + 3

and

y = x

Evaluate responses using AI:

OFF

What do you notice about the lines?

• They are perpendicular

• They intersect with each other

• They are parallel

What can you conclude about parallel lines?

• Parallel lines have same gradient and

  different y-intercept

• Parallel lines have different gradient and

  different y-intercept

• Parallel lines are equal

What do you notice about the gradient of Line P and Line Q?

• They are equal

• They are different

• They are parallel

Which two equations below are parallel?

• y = 2x + 1 and y = -1/2x + 1

• y = 2x + 3 and y = -2x + 3

• y = 2x - 1 and y = 1/2x - 1

• y = -x + 4 and y = -x + 2

What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)

• y = 1/4x + 6

• y = -4x + 7

• y = -4x + 2

• y = 1/4x -1