Writing Linear Equations from Graphs

The video tutorial covers writing linear equations from a graph, focusing on three forms: point-slope, slope-intercept, and standard. It explains how to convert between these forms using two examples, emphasizing the importance of understanding each form's structure and the process of conversion.

What are the three forms of linear equations discussed in the video?

• Standard, quadratic, and exponential

• Point-slope, slope-intercept, and standard

• Slope-intercept, quadratic, and exponential

• Point-slope, quadratic, and standard

In point-slope form, what does 'm' represent?

• The slope

• The constant term

• The y-intercept

• The x-intercept

Which form of linear equation is represented by y = mx + b?

• Point-slope form

• Slope-intercept form

• Standard form

• Quadratic form

What is the first step in converting a point-slope form equation to slope-intercept form?

• Add the y-intercept

• Move the x term to the other side

• Distribute the slope

• Combine like terms

In slope-intercept form, what does 'b' represent?

• The constant term

• The slope

• The x-intercept

• The y-intercept

What must be true about the coefficients in standard form?

• They must be negative

• They must be integers

• They must be positive

• They must be fractions

What is the standard form of the equation y = -2x + 3?

• y - 2x = 3

• 2x + y = 3

• x + 2y = 3

• 2x - y = 3

In the comprehensive example, what is the slope of the line passing through the point (-3, -9)?

• 3/2

• -2/3

• 2/3

• -3/2

What is the slope-intercept form of the equation passing through the point (-3, -9) with a slope of 2/3?

• y = -2/3x + 7

• y = -2/3x - 7

• y = 2/3x + 7

• y = 2/3x - 7

What is the standard form of the equation y = 2/3x - 7?

• 2x - 3y = 21

• 3y - 2x = 21

• 2x + 3y = 21

• 3y + 2x = 21