Equations of Lines in Slope-Intercept Form

This video lesson by Kirk Weiler reviews the concept of equations of lines, focusing on identifying slopes and y-intercepts, graphing lines, and understanding parallel and perpendicular lines. The lesson revisits topics from Algebra 1 and introduces exercises to practice rearranging equations into y=mx+b form. Key lines like y=x and y=-x are discussed for their importance in geometry. The lesson concludes with exercises on drawing parallel and perpendicular lines and identifying perpendicular lines from given equations.

What is the main focus of today's lesson?

• Statistics and probability

• Advanced trigonometry

• Review of equations of lines

• Introduction to calculus

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The y-intercept

• The slope

• The x-intercept

How do you identify the y-intercept from the equation y = mx + b?

• It is the product of m and x

• It is the coefficient of x

• It is the constant term

• It is the sum of m and x

What is the slope of the line y = -1/2x + 3?

• -3

• 1/2

• -1/2

• 3

Which of the following points lies on the line y = x?

• (2, 2)

• (0, 1)

• (3, 1)

• (1, 2)

What is the slope of the line y = -x?

• 1

• -1

• 2

• 0

How do you rearrange the equation 2x + 3y = 12 into y = mx + b form?

• y = 2x - 12

• y = -2x + 12

• y = 2/3x + 4

• y = -2/3x + 4

What is the y-intercept of the line 4x - 6y = 7?

• -7/6

• -4/6

• 7/6

• 4/6

What is the slope of a line parallel to y = -1/2x + 5?

• 1/2

• -1/2

• -2

• 2

Which of the following lines is perpendicular to y = -5/3x + 2?

• y = 5/3x - 2

• y = 3/5x - 7

• y = -5/3x + 2

• y = -3/5x + 7