Understanding Linear Equations and Slopes

The video tutorial explains how to convert equations from standard form to slope-intercept form, which is useful for graphing. It covers identifying the slope and y-intercept in slope-intercept form and provides examples and practice problems to reinforce the concepts. The tutorial emphasizes the importance of rearranging equations to make graphing easier and demonstrates the process with step-by-step examples.

What is the slope in the equation y = 5x + 2?

• 2

• 5

• 0

• -5

In the equation y = 5x + 2, what is the y-intercept?

• 5

• 2

• 0

• -2

What is the first step in converting 2x + 4y = 8 to slope-intercept form?

• Multiply by 4

• Divide by 4

• Add 2x to both sides

• Subtract 2x from both sides

After subtracting 2x from both sides in the equation 2x + 4y = 8, what is the resulting equation?

• y = -2x + 8

• 4y = -2x + 8

• 2x = 4y + 8

• 4y = 2x + 8

How do you eliminate the coefficient of y in the equation 4y = -2x + 8?

• Add 4

• Divide by 4

• Subtract 4

• Multiply by 4

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

• -2

• -1/2

• 1/2

• 2

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

• 2

• -2

• -1/2

• 0

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

• -2/3

• -3

• 2/3

• 3

In the equation y = -2/3x + 2, what is the y-intercept?

• -2/3

• -2

• 2

• 0

What is the first step in converting x + y = 5 to slope-intercept form?

• Multiply by 5

• Add x to both sides

• Subtract x from both sides

• Divide by 5