Slope Intercept Form and Linear Equations

What equation in slope-intercept form represents the line that passes through the two points?

Mathematical Equivalence

ON

Write an equation in slope-intercept form from the points (0, 5) and (4, 3)

• y = 5x + 5

• y = 1/2x + 5

• y = 1/2x - 5

• x = 5

Parallel Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Coincident Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Which of the following systems of linear equations represent parallel lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Which of the following systems of linear equations represent coincidental lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• y = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

Intersecting Lines in a system of linear equations have which of the following characteristics?

• Same Slope but Different Y-Intercepts

• Different Slopes but Y-Intercepts doesn't matter

• Same Slope Same Y-Intercept

• No Slopes and X-Intercepts

Which of the following systems of linear equations represent intersecting lines?

• y = 2x - 3

  2y = 4x + 6

• y = x + 2

  y = 2x + 1

• x = -3

  x = -4

• y = 2x + 4

  y = 2x + 4

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution