Converting Linear Equations: Slope Intercept to Standard Form

This video tutorial explains how to convert linear equations from slope-intercept form to standard form. It covers the general forms of both types of equations and provides a step-by-step guide to the conversion process, including handling fractions and ensuring coefficients are positive. The tutorial includes examples with different slopes and intercepts, offering practical insights into the conversion process. The video concludes with final tips and encourages viewers to subscribe for more educational content.

What is the general form of a linear equation in slope-intercept form?

• ax + by + c = 0

• y = ax + b

• y = mx + b

• ax + by = c

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

• The y-intercept

• The x-intercept

• The slope

• The constant term

What is the first step in converting an equation with a fractional slope to standard form?

• Add the opposite of the x term to both sides

• Multiply the whole equation by the denominator of the fraction

• Divide the whole equation by the numerator of the fraction

• Subtract the y term from both sides

After multiplying by the denominator, what should you do next?

• Subtract the y term

• Divide by the numerator

• Multiply by the numerator

• Add the opposite of the x term to both sides

Why do we multiply the whole equation by -1 in the second example?

• To make the y term positive

• To make the x term positive

• To eliminate fractions

• To simplify the equation

What is the second step in converting an equation with a whole number slope to standard form?

• Multiply by the denominator

• Divide by the numerator

• Add the opposite of the x term to both sides

• Subtract the y term

In the final example, what is the result of adding 11x to both sides?

• y = -11x + 10

• 11x + y = -10

• y = 11x - 10

• 11x + y = 10

What is the general form of a linear equation in standard form?

• y = mx + b

• ax + by + c = 0

• ax + by = c

• y = ax + b

What should you do if the x term in the standard form is negative?

• Subtract the y term

• Divide by the numerator

• Add the opposite of the x term

• Multiply the whole equation by -1

What are the two main steps to convert a linear equation from slope-intercept form to standard form?

• Subtract the y term and divide by the numerator

• Multiply by the denominator and add the opposite of the x term

• Add the x term and multiply by the denominator

• Multiply by the numerator and add the y term