Writing Linear Equations in Standard Form

What is the standard form of a linear equation?

• ax^2 + bx + c = 0

• ax + by = c

• y = mx + b

• y - y1 = m(x - x1)

In the standard form of a linear equation, what must be true about the coefficient 'a'?

• It must be a positive number

• It must be a negative number

• It can be any real number

• It must be zero

What is the first step in converting an equation from slope-intercept form to standard form?

• Get x and y on the same side

• Multiply by the denominator

• Add the constant to both sides

• Distribute the slope

How do you handle a negative coefficient 'a' when converting to standard form?

• Add a positive number to both sides

• Subtract a positive number from both sides

• Multiply everything by -1

• Divide everything by -1

What is the first step in converting an equation from point-slope form to standard form?

• Move the x term to the other side

• Distribute the slope

• Multiply by the denominator

• Add the constant to both sides

When given two points, what is the first thing you need to find to write the equation of a line?

• The y-intercept

• The slope

• The x-intercept

• The midpoint

What form is used to write the equation of a line when given a slope and a point?

• Standard form

• Quadratic form

• Slope-intercept form

• Point-slope form

How do you convert an equation from slope-intercept form to standard form?

• Add the slope to both sides

• Multiply by the slope

• Subtract the y-intercept from both sides

• Move x and y to the same side

What is the slope of a line if the rise is 4 and the run is 3?

• 4/3

• 3

• 3/4

• 1/3

How do you convert an equation from a graph to standard form?

• Identify the slope and y-intercept, write in slope-intercept form, then convert to standard form

• Identify the slope and x-intercept, then write in standard form

• Identify two points, write in point-slope form, then convert to standard form

• Identify the x-intercept and y-intercept, then write in standard form