Rewriting Equations in Slope Intercept Form

What is the main goal when working with systems of equations in this lesson?

• To graph them directly

• To solve them using substitution

• To solve them using elimination

• To rewrite them in slope-intercept form

In the slope-intercept form y = mx + b, what does 'm' represent?

• The constant term

• The x-value

• The y-intercept

• The slope or rate of change

What is the purpose of using inverse operations when rewriting equations?

• To eliminate the X variable

• To isolate the Y variable

• To simplify the equation

• To find the slope

When isolating the Y variable, what should you do if the equation has a term attached to X?

• Divide the term on both sides

• Multiply the term on both sides

• Subtract the term from both sides

• Add the term to both sides

In the equation -9y = 18 - 3x, what is the next step to isolate y?

• Divide every term by -9

• Subtract 18 from both sides

• Multiply every term by -9

• Add 3x to both sides

What is the slope in the equation y = 1/3x - 2?

• -1/3

• -2

• 1/3

• 3

In the equation y = 4x - 4, what is the y-intercept?

• 0

• -4

• 4x

• 4

When graphing the equation y = 3x + 2, where do you start?

• At the origin

• At (0, 3)

• At (0, 2)

• At (3, 0)

In the equation y = 1/2x - 2, what is the slope and y-intercept?

• Slope: 1/2, y-intercept: -2

• Slope: -2, y-intercept: 1/2

• Slope: -1/2, y-intercept: 2

• Slope: 2, y-intercept: -1/2

What should you do after isolating the Y variable and arranging the terms in slope-intercept form?

• Solve for X

• Simplify the equation

• Graph the equation

• Check your work