Comparing Standard Form and Slope Intercept Form

This video tutorial covers the differences between standard form and slope-intercept form of linear equations. It explains the benefits of each form, particularly in graphing and solving word problems. The tutorial provides step-by-step instructions on converting equations from standard form to slope-intercept form and demonstrates how to graph these equations. Examples are provided to reinforce the concepts, and viewers are encouraged to practice on their own.

What is the main advantage of using the slope-intercept form of an equation?

• It is easier to solve for x.

• It is easier to graph the equation.

• It is easier to find the x-intercept.

• It is easier to solve word problems.

In the standard form equation Ax + By = C, what must be true about the coefficient A?

• A must be a positive number.

• A must be zero.

• A must be a negative number.

• A must be an even number.

What is the first step in converting the equation 3x + 2y = 10 to slope-intercept form?

• Add 3x to both sides.

• Multiply each term by 2.

• Subtract 3x from both sides.

• Divide each term by 2.

When converting 3x + 2y = 10 to slope-intercept form, what do you get after subtracting 3x from both sides?

• 2y = 10 - 3x

• 2y = -3x + 10

• 2y = 10 + 3x

• 2y = 3x + 10

After dividing each term by 2 in the equation 2y = -3x + 10, what is the resulting slope-intercept form?

• y = 3/2x + 5

• y = -3/2x + 5

• y = 3x + 5

• y = -3x + 5

In the equation -4y = -2x + 12, what is the slope after converting to slope-intercept form?

• -2

• 2

• -1/2

• 1/2

What is the y-intercept of the equation y = 1/2x - 3?

• 3

• -3

• 1/2

• -1/2

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

• At the y-intercept (0,3)

• At the point (2,-3)

• At the origin (0,0)

• At the x-intercept (3,0)

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

• Rise 1, Run -2

• Rise -1, Run 2

• Rise 2, Run 1

• Rise 1, Run 2

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

• -2

• 1/2

• -1/2

• 2