Equation Parallel Line

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

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

7. Write down an equation which is also parallel to

y = x + 3

and

y = x

Evaluate responses using AI:

OFF

Which is the equation to a line that passes through (13, -6) and is parallel to a line with an undefined slope?

Mathematical Equivalence

ON

The equation of line k is y = −x + 17. Line n is parallel to line k and passes through the point (−5, 7). Determine an equation that represents the relationship between x and y for line n. Record your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.3.2.E

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an y-intercept of -2?

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

• They are equal

• They are different

• They are parallel

• y= 8x+5

• y= -5x+8

• y= 5x+4

• y= -5x-4