Slope Review in Standard Form

The video tutorial explains how to convert equations from standard form (ax + by = c) to slope-intercept form (y = mx + b) to facilitate graphing. It provides step-by-step examples, including handling coefficients and special cases. The tutorial concludes with instructions for assignments and quizzes.

Why is it important to convert equations from standard form to slope-intercept form?

• It makes it easier to solve for x.

• It helps in graphing the equation.

• It simplifies the equation.

• It eliminates the y variable.

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

• Add or subtract the x term from both sides.

• Divide by the coefficient of y.

• Multiply both sides by a constant.

• Rearrange the terms.

In the equation 5y = -30 - 4x, what should be done after subtracting 4x from both sides?

• Subtract 5 from both sides.

• Divide both sides by 5.

• Multiply both sides by 5.

• Add 4x to both sides.

After converting the equation 5y = -30 - 4x, what is the slope of the resulting equation?

• -30

• 5

• 4/5

• -4/5

In the equation -3y = 12 - x, what is the next step after subtracting x from both sides?

• Multiply both sides by -3.

• Add x to both sides.

• Subtract 12 from both sides.

• Divide both sides by -3.

What is the slope of the equation y = 1/3x - 4?

• 1/3

• -1/3

• -4

• 3

In the special case where the equation is -1x - 1y = -8, what is the first step?

• Add 1 to both sides.

• Subtract 1 from both sides.

• Add 1x to both sides.

• Subtract 1x from both sides.

What is the y-intercept of the equation y = -1x + 8?

• -1

• 8

• -8

• 1

When finding the slope from a graph, what does a positive slope indicate?

• The line is horizontal.

• The line rises to the right.

• The line rises to the left.

• The line falls to the right.

What is the standard form of the equation y = mx + b?

• y = ax + b

• ax + by = 0

• ax + by = c

• y = bx + c