Exploring Point Slope Form with Two Points

This video tutorial covers the point-slope formula, focusing on how to find the slope of a line given two points and then use the point-slope formula to write the equation of the line. The instructor provides two detailed examples, demonstrating each step from labeling coordinates to simplifying the final equation into slope-intercept form. The video concludes with practice problems for students to try on their own.

What is the first step in writing a linear equation that passes through two points?

• Find the y-intercept

• Use the point-slope formula

• Convert to slope-intercept form

• Label the coordinates

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

• m = (x2 - x1) / (y2 - y1)

• m = (y2 - y1) / (x2 - x1)

• m = (y1 - y2) / (x1 - x2)

• m = (x1 - x2) / (y1 - y2)

What is the slope of the line passing through the points (1, -1) and (-3, 7)?

• -2

• -1/2

• 2

• 1/2

Which formula represents the point-slope form of a linear equation?

• y = m(x - y1) + b

• y = m(x - x1) + b

• y - y1 = m(x - x1)

• y = mx + b

What is the final form of the equation y - 7 = -2(x + 3) in slope-intercept form?

• y = 2x + 1

• y = -2x + 1

• y = 2x - 1

• y = -2x - 1

What is the slope of the line passing through the points (3, -4) and (-6, -7)?

• -3

• -1/3

• 3

• 1/3

What is the equation of the line passing through the points (-6, -7) and (3, -4) in slope-intercept form?

• y = -1/3x + 5

• y = 1/3x + 5

• y = -1/3x - 5

• y = 1/3x - 5

What is the slope of the line passing through the points (3, 2) and (-9, -14)?

• 3/4

• -4/3

• 4/3

• -3/4

What is the equation of the line passing through the points (3, 2) and (-9, -14) in slope-intercept form?

• y = 4/3x - 2

• y = -4/3x + 2

• y = -4/3x - 2

• y = 4/3x + 2

What is the final form of the equation y + 14 = 4/3(x + 9) in slope-intercept form?

• y = -4/3x - 2

• y = -4/3x + 2

• y = 4/3x + 2

• y = 4/3x - 2