Exploring Slope-Intercept and Point-Slope Form

The video tutorial covers the concepts of slope-intercept and point-slope forms of linear equations. It provides examples of writing equations in both forms and explains how to convert between them. The tutorial also demonstrates how to calculate the slope from two points and use it to write equations. The video concludes with instructions on homework and grading.

What does the 'm' represent in the slope-intercept form equation y = mx + b?

• The slope

• The x-coordinate

• The y-intercept

• The constant term

In the point-slope form equation y - y1 = m(x - x1), what do x1 and y1 represent?

• The x and y intercepts

• The coefficients of x and y

• The slope and y-intercept

• The coordinates of a point on the line

Given a slope of 4 and a y-intercept of -5, what is the equation in slope-intercept form?

• y = -4x - 5

• y = 4x + 5

• y = -4x + 5

• y = 4x - 5

What is the slope-intercept form of a line with a slope of -5 and a y-intercept of 6?

• y = 5x + 6

• y = -5x - 6

• y = 5x - 6

• y = -5x + 6

What is the point-slope form of a line with a slope of 8 passing through the point (6, -4)?

• y - 4 = 8(x + 6)

• y + 4 = 8(x + 6)

• y + 4 = 8(x - 6)

• y - 4 = 8(x - 6)

Given a slope of 1/2 and a point (-5, -8), what is the point-slope form of the equation?

• y - 8 = 1/2(x - 5)

• y + 8 = 1/2(x - 5)

• y - 8 = 1/2(x + 5)

• y + 8 = 1/2(x + 5)

Convert the point-slope form y + 1 = -2(x - 3) to slope-intercept form.

• y = -2x - 5

• y = -2x + 5

• y = 2x + 5

• y = 2x - 5

What is the slope-intercept form of a line with a slope of 8 passing through the point (-1, 3)?

• y = 8x + 11

• y = 8x - 11

• y = -8x - 11

• y = -8x + 11

How do you find the slope between two points (-1, 6) and (2, -9)?

• (6 - (-9)) / (-1 - 2)

• (-9 - 6) / (2 - (-1))

• (6 - (-9)) / (2 - (-1))

• (-9 - 6) / (-1 - 2)

What is the slope-intercept form of a line passing through (-1, -2) and (5, 1)?

• y = 1/2x + 3/2

• y = -1/2x + 3/2

• y = -1/2x - 3/2

• y = 1/2x - 3/2