Point Slope and Standard Form Mastery

This video tutorial covers the two forms of writing linear equations: point-slope and standard form. It explains how to use point-slope form to write equations using a given point and slope, and how to graph these equations. The video also discusses special cases like vertical and horizontal lines, and how to convert equations to standard form. Finally, it demonstrates graphing from standard form using x and y intercepts.

What does the 'M' represent in the point-slope form of a linear equation?

• The y-intercept

• The slope

• The x-coordinate

• The y-coordinate

In point-slope form, what do the variables x1 and y1 represent?

• The y-intercept

• The coordinates of a point on the line

• The x-intercept

• The slope of the line

How many different equations can be written in point-slope form for a single line?

• One

• Two

• Infinite

• None

What is the equation of a vertical line with an x-coordinate of 1?

• y = 1

• x = 0

• x = 1

• y = 0

What is the equation of a horizontal line with a y-coordinate of 1?

• x = 0

• y = 0

• x = 1

• y = 1

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

• Isolate the y variable

• Subtract the y-intercept

• Distribute the slope

• Add the x variable to both sides

In standard form, what must be true about the coefficients A and B?

• They must be fractions

• They must be negative

• They must be integers

• They must be positive

What is the standard form of the equation y = -3x + 4?

• 3x - y = 4

• 3x + y = 4

• y + 3x = 4

• y - 3x = 4

When converting an equation with fractions to standard form, what should you multiply by to eliminate the fractions?

• The greatest common divisor of the numerators

• The numerator

• The denominator

• The least common multiple of the denominators

What is the x-intercept of the equation 3x - 2y = -8?

• (-2, 0)

• (-4, 0)

• (-3, 0)

• (-8, 0)