Graphing Linear Equations in Standard Form

The video tutorial covers graphing linear equations in standard form, explaining the standard form of a linear equation and the conditions under which coefficients can be zero. It demonstrates graphing horizontal and vertical lines and using intercepts to graph equations. Examples are provided to illustrate these concepts.

What is the standard form of a linear equation?

• ax + by = c

• ax^2 + by = c

• ax^2 + by^2 = c

• ax + by^2 = c

What happens if both 'a' and 'b' are zero in the standard form of a linear equation?

• The equation is still valid

• The equation represents a line

• The equation does not represent a valid line

• The equation represents a parabola

If 'a' is zero and 'b' is three in the standard form equation, what is the value of 'y' when 'c' is nine?

• y = 3

• y = 1

• y = 9

• y = 0

If 'b' is zero and 'a' is two in the standard form equation, what is the value of 'x' when 'c' is ten?

• x = 10

• x = 5

• x = 0

• x = 2

What type of line does the equation 'x = 3' represent?

• Curved line

• Horizontal line

• Vertical line

• Diagonal line

What does the equation 'y = -1' graphically represent?

• A vertical line at y = -1

• A parabola opening downwards

• A horizontal line at y = -1

• A diagonal line passing through -1

What is the y-intercept of the equation '3x + 4y = 12'?

• (3, 0)

• (0, 3)

• (4, 0)

• (0, 4)

How do you find the x-intercept of an equation?

• Set both x and y to zero

• Set y to zero and solve for x

• Multiply both sides by x

• Set x to zero and solve for y

What are the coordinates of the x-intercept for the equation '2x - 4y = 12'?

• (0, -6)

• (6, 0)

• (0, 6)

• (-6, 0)

What is the y-intercept of the equation '2x - 4y = 12'?

• (0, -3)

• (-3, 0)

• (3, 0)

• (0, 3)