Understanding Linear Equations

Which form of linear equation uses the constants 'm' and 'b' to specify the slope and y-intercept?

• Two-point form

• Point-slope form

• Slope-intercept form

• Standard form

What is one advantage of the standard form of a linear equation?

• It uses fewer constants.

• It is easier to solve for y.

• It requires no calculations.

• It can describe vertical lines.

In the standard form 'Ax + By = C', what does the expression '-A/B' represent?

• The constant term

• The slope

• The y-intercept

• The x-intercept

How can you determine the y-intercept from a standard form equation?

• Divide A by C.

• Multiply A and B.

• Set y to zero and solve for x.

• Set x to zero and solve for y.

In the equation 5x - 3y = 15, what is the x-intercept?

• 5

• -5

• 15

• 3

What is the y-coordinate of the y-intercept in the equation 5x - 3y = 15?

• 3

• 15

• 5

• -5

Which form of linear equation is best for graphing a line using intercepts?

• Point-slope form

• Slope-intercept form

• Two-point form

• Standard form

What happens to the graph of a line when 'A' is set to zero in the standard form?

• It becomes a vertical line.

• It becomes a horizontal line.

• It becomes a diagonal line.

• It becomes a curved line.

If 'B' is zero in the standard form, what type of line is represented?

• Horizontal line

• Vertical line

• No line

• Diagonal line

Why is the standard form important for solving systems of equations?

• It simplifies calculations.

• It reduces the number of variables.

• It allows for easy graphing.

• It enables solving multiple equations simultaneously.