Converting Standard Form to Slope-Intercept

What are the two recognizable forms of linear equations discussed in the lesson?

• Quadratic form and cubic form

• Standard form and slope-intercept form

• Slope-intercept form and quadratic form

• Standard form and quadratic form

In the standard form of a linear equation, what does the equation look like?

• y = ax^2 + bx + c

• y = mx + b

• ax + by = c

• x^2 + y^2 = r^2

Which of the following is an example of a linear equation in standard form?

• y = 2x - 8

• 3x + 5y = 9

• y = -3/4x + 11

• x^2 + y^2 = 25

In the slope-intercept form of a linear equation, what does the equation look like?

• ax + by = c

• y = mx + b

• x^2 + y^2 = r^2

• y = ax^2 + bx + c

Which of the following is an example of a linear equation in slope-intercept form?

• y = ax^2 + bx + c

• y = 2x - 8

• x^2 + y^2 = 25

• 3x + 5y = 9

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

• Add the x term to both sides

• Subtract the x term from both sides

• Multiply both sides by the coefficient of y

• Divide both sides by the coefficient of x

After isolating the y term, what is the next step in the conversion process?

• Divide both sides by the coefficient of y

• Add the x term to both sides

• Subtract the x term from both sides

• Multiply both sides by the coefficient of y

In the example 3y = -2x + 12, what is the final slope-intercept form after dividing by 3?

• y = 2/3x - 4

• y = -2x + 4

• y = -2/3x + 4

• y = 2x - 4

In the example -x + 4y = -20, what is the final slope-intercept form after isolating y and dividing by 4?

• y = -1/4x - 5

• y = -4x + 5

• y = 1/4x - 5

• y = 4x + 5

What should you remember if there is no number in front of the x term in the slope-intercept form?

• There is always a 1 in front of the x

• There is always a -1 in front of the x

• There is always a 2 in front of the x

• There is always a 0 in front of the x