Finding Slopes and Equations of Lines

This video tutorial covers the concepts of slopes and equations of lines in geometry. It begins with an introduction to the topic, followed by methods to determine the slope of a line using rise over run and the slope formula. The tutorial then explains how to write equations in slope-intercept form and find equations of lines given a slope and a point. Finally, it demonstrates how to graph lines using these equations. The lesson concludes with a practice assignment for students.

What is the slope of a line if the rise is 6 and the run is 2?

• 2

• 4

• 3

• 1

Tags

CCSS.8.EE.B.5

If a line passes through the points (1, 2) and (3, 4), what is its slope?

• 4

• 1

• 2

• 3

Tags

CCSS.8.EE.B.5

What is the y-intercept of a line that crosses the y-axis at 4?

• 2

• 3

• 4

• 5

Given a slope of -1/2 and a y-intercept of 4, what is the equation of the line?

• y = 2x + 4

• y = -2x + 4

• y = 1/2x + 4

• y = -1/2x + 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept of a line that passes through the point (0, -2)?

• 2

• 4

• 0

• -2

If a line has a slope of 4/5 and passes through the point (0, -2), what is its equation?

• y = 4/5x - 2

• y = 5/4x - 2

• y = 4/5x + 2

• y = 5/4x + 2

What is the slope of the line represented by the equation y = -1/3x + 3?

• 3

• -3

• 1/3

• -1/3

Tags

CCSS.8.EE.B.5

Where does the line y = -1/3x + 3 cross the y-axis?

• 3

• -3

• 0

• 1

Convert the equation 3x + y = 6 to slope-intercept form.

• y = 3x - 6

• y = -3x - 6

• y = -3x + 6

• y = 3x + 6

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the slope of the line represented by the equation y = -3x + 6?

• 6

• -6

• 3

• -3

Tags

CCSS.8.EE.B.5