Exploring Point-Slope Form of a Line

Mrs. Shaw introduces the point-slope form of a line, derived from the slope formula. She explains how to use this form to find the equation of a line given a point and a slope, and demonstrates this with examples. The video covers deriving equations from graphs and graphing lines using the point-slope form.

What is the point-slope form of a line?

• y = mx + b

• y - y1 = m(x - x1)

• Ax + By = C

• y = m(x - x1) + y1

From which formula is the point-slope form derived?

• Midpoint Formula

• Quadratic Formula

• Slope Formula

• Distance Formula

What do you need to know to use the point-slope form?

• A point on the line and the slope

• The y-intercept

• Two points on the line

• The x-intercept

If a line has a slope of 5 and passes through the point (-4, 7), what is the equation in point-slope form?

• y - 7 = 5(x - 4)

• y - 7 = 5(x + 4)

• y + 7 = 5(x - 4)

• y + 7 = 5(x + 4)

What happens when you subtract a negative number?

• It becomes a positive number

• It becomes undefined

• It becomes zero

• It remains negative

How do you find the slope from a graph?

• By finding the y-intercept

• By measuring the angle with the x-axis

• By counting the rise over run between two points

• By finding the x-intercept

Given the points (0, 0) and (6, 2), what is the slope?

• 1/2

• -1/2

• 2/6

• 1/3

What is the point-slope form of the line passing through (6, 2) with a slope of -1/2?

• y + 2 = -1/2(x + 6)

• y - 2 = -1/2(x - 6)

• y + 2 = -1/2(x - 6)

• y - 2 = -1/2(x + 6)

In the equation y - 2 = 2/3(x + 1), what is the slope?

• -3/2

• 2/3

• 3/2

• -2/3

In the equation y - 2 = 2/3(x + 1), what is the point?

• (-2, 1)

• (2, -1)

• (1, -2)

• (-1, 2)