Exploring Standard Form of Linear Equations

What is the general form of a linear equation in slope-intercept form?

• y = mx + b

• ax + by = c

• y = ax + b

• mx + y = b

In the standard form of a linear equation, which of the following must be true?

• a, b, and c must be integers

• a, b, and c must be fractions

• The equation must be in the form y = mx + b

• x and y must be on opposite sides

What is the first step in converting the equation y = (3/5)x + 1 to standard form?

• Subtract 1 from both sides

• Multiply everything by 5

• Add 3x to both sides

• Divide everything by 3

After multiplying by 4, what is the next step to convert y = (3/4)x - 7 to standard form?

• Subtract 3x from both sides

• Add 7 to both sides

• Multiply everything by 3

• Divide everything by 4

To convert 3x - 2y = 6 to slope-intercept form, what is the first step?

• Multiply everything by 2

• Subtract 3x from both sides

• Add 2y to both sides

• Divide everything by 3

What is the slope of the equation y = (-1/5)x + 2?

• -1/5

• -2

• 2

• 1/5

How do you find the x-intercept of a standard form equation?

• Divide the constant term by the coefficient of x

• Set x to 0 and solve for y

• Set both x and y to 0

• Set y to 0 and solve for x

What is the y-intercept of the equation 2x + 4y = 8?

• (4, 0)

• (0, -2)

• (2, 0)

• (0, 2)

Which method can be used as a shortcut to find intercepts in standard form?

• Graphing method

• Cover-up method

• Substitution method

• Elimination method

What is the relationship between the coefficients in standard form and the slope?

• The slope is the opposite of a over b

• The slope is the ratio of a to b

• The slope is the sum of a and b

• The slope is the product of a and b