Exploring Point-Slope Form in Algebra

This video tutorial explains the point-slope form of linear equations, demonstrating how to use it to write and graph equations. It covers identifying slopes and points, writing equations, and graphing them. The video also includes a derivation of the point-slope formula, providing a comprehensive understanding of its application and origin.

What is the formula for a linear equation in point-slope form?

• y - y1 = m(x - x1)

• y = mx + b

• ax + by = c

• y = x + c

What information do you need to write a linear equation in point-slope form?

• Two points

• X-intercept and Y-intercept

• Slope and a point

• Y-intercept and slope

In the equation y - 2 = 3(x - 4), what is the slope?

• 4

• 3

• -4

• 2

In the equation y - 2 = 3(x - 4), what is the point?

• (-4, -2)

• (2, 4)

• (4, 2)

• (-2, -4)

Given the equation y + 3 = -4(x - 5), what is the slope?

• 4

• -4

• 5

• -5

Given the equation y + 3 = -4(x - 5), what is the point?

• (-3, 5)

• (3, -5)

• (-5, 3)

• (5, -3)

How do you find the slope if given two points (2, 6) and (5, -3)?

• (5 - 2) / (-3 - 6)

• (-3 - 6) / (5 - 2)

• (2 - 5) / (6 - (-3))

• (6 - (-3)) / (2 - 5)

What is the slope of the line passing through the points (2, 6) and (5, -3)?

• -2

• 2

• -3

• 3

What is the first step in graphing a linear equation in point-slope form?

• Identify the slope and a point

• Plot the y-intercept

• Find the x-intercept

• Draw the line

What is the final step in graphing a linear equation in point-slope form?

• Identify the slope

• Plot the point

• Draw a line connecting the points

• Calculate the y-intercept