Writing Equations of Lines from a Point and Slope

The video tutorial covers Topic 2f, focusing on finding the equation of a line given a point and a slope. It begins with an introduction to the concept, followed by two detailed examples demonstrating how to solve for the y-intercept and write the equation of a line. The first example uses a slope of 2 and a point (-7, 3), while the second example uses a slope of -3 and a point (-6, 13). The video concludes with a homework assignment for students to practice solving a similar problem with a slope of 1/4 and a point (8, 16).

What does the 'm' represent in the equation y = mx + b?

• The slope

• The y-coordinate

• The y-intercept

• The x-coordinate

In the equation y = mx + b, what does 'b' stand for?

• The x-intercept

• The slope

• The y-intercept

• The x-coordinate

Given the point (-7, 3) and a slope of 2, what is the value of 'b' in the equation y = 2x + b?

• -17

• 14

• -14

• 17

What is the equation of the line with a slope of 2 passing through the point (-7, 3)?

• y = 2x - 3

• y = 2x + 3

• y = 2x + 17

• y = 2x - 17

For the point (-6, 13) and a slope of -3, what is the value of 'b' in the equation y = -3x + b?

• 5

• -13

• -5

• 13

What is the equation of the line with a slope of -3 passing through the point (-6, 13)?

• y = -3x - 5

• y = -3x + 5

• y = -3x - 13

• y = -3x + 13

When solving for 'b' in the equation y = mx + b, what is the first step after substituting the given point and slope?

• Subtract the y-coordinate from the x-coordinate

• Divide the y-coordinate by the slope

• Multiply the slope by the x-coordinate

• Add the x-coordinate to the y-coordinate

In the equation y = -3x - 5, what does the -5 represent?

• The y-intercept

• The x-intercept

• The x-coordinate

• The slope

What is the slope of the line in the equation y = 2x + 17?

• 17

• -17

• -2

• 2

For the assignment, what is the slope given for the point (8, 16)?

• 1/4

• 1/3

• 1/5

• 1/2