Mastering Linear Equations in Standard Form

This video tutorial covers linear equations in standard form, including converting from slope-intercept form, graphing lines, and finding intercepts. It also demonstrates solving a real-world problem using standard form equations. The tutorial provides step-by-step instructions and examples to help learners understand and apply these concepts effectively.

What is the standard form of a linear equation?

• Y = MX + B

• AX + BY = C

• AX + BY = 0

• Y = AX + B

In the standard form of a linear equation, what must be true about the coefficients A, B, and C?

• They must be fractions

• They must be integers

• They must be positive

• They must be negative

What is the first step in converting the point-slope form Y - 5 = -3(X + 4) to standard form?

• Multiply by -1

• Clear the parentheses

• Subtract 3X from both sides

• Add 5 to both sides

After clearing the parentheses in the equation Y - 5 = -3(X + 4), what is the next step?

• Divide by -3

• Subtract 5 from both sides

• Add 3X to both sides

• Multiply by 3

Given the points (0, 2) and (1, -1) on a line, what is the slope of the line?

• 3

• -3

• 2

• -2

How do you convert the slope-intercept form Y = -3X + 2 to standard form?

• Subtract 2 from both sides

• Add 3X to both sides

• Multiply by -1

• Divide by 3

What is the quickest method to graph a line in standard form?

• Plotting random points

• Using a T-table

• Finding the x and y intercepts

• Using the slope and y-intercept

To find the x-intercept of the equation 4X - 3Y = 12, what should you set Y equal to?

• 4

• 3

• 0

• 12

In the word problem, if Manny works 10 hours at the $16 per hour job, how many hours does he need to work at the $10 per hour job to earn $300?

• 16 hours

• 14 hours

• 20 hours

• 10 hours

What is the equation that models Manny's earnings if he works X hours at $10 per hour and Y hours at $16 per hour?

• 10X + 16Y = 300

• 16X + 10Y = 300

• 16X + 10Y = 160

• 10X + 16Y = 160