Exploring Standard Form in Mathematics

The video tutorial covers the concept of standard form equations, explaining how to find x and y intercepts using the cover-up method. It demonstrates graphing techniques using these intercepts and discusses graphing horizontal and vertical lines, emphasizing the characteristics of each type of line.

What is the standard form of a linear equation?

• ax^2 + bx + c = 0

• x^2 + y^2 = r^2

• ax + by = c

• y = mx + b

In the standard form equation ax + by = c, which of the following must be true?

• a, b, and c must all be integers

• a must be greater than or equal to zero

• a and b can both be zero

• c must be a positive number

What is the first step to find the x-intercept of the equation 3x + 4y = 8?

• Set x to 0

• Divide both sides by 3

• Set y to 0

• Subtract 4y from both sides

Using the cover-up method, what is the x-intercept of 3x + 4y = 8?

• 2

• 8/3

• 4

• 3/8

What is the y-intercept of the equation 4x - 9y = -12?

• 4

• -4/3

• 3/4

• 4/9

When graphing the equation 2x + 3y = 12, what is the x-intercept?

• 4

• 3

• 2

• 6

For the equation 5x + 2y = -10, what is the y-intercept?

• 2

• -2

• 5

• -5

What is the slope of a horizontal line?

• Undefined

• Zero

• Negative

• Positive

In the equation y = -3, what is the y-intercept?

• 3

• -3

• 0

• Undefined

For the equation x = 2, what is the x-intercept?

• -2

• 2

• 0

• Undefined