Slope-Intercept vs Standard Form: Key Concepts

This lesson covers the concepts of slope-intercept form and standard form, focusing on identifying slopes in different forms of equations. It explains how to convert standard form equations to slope-intercept form and discusses the characteristics of horizontal and vertical lines. The lesson includes vocabulary definitions and practical examples to help students understand and apply these concepts.

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

• mx + y = b

• y = ax + b

• y = mx + b

• ax + by = c

In the equation y = 2x + 3, what is the slope?

• 1

• 5

• 3

• 2

If an equation is given in the form y = -4/5x - 6, what is the slope?

• 6

• 4/5

• -6

• -4/5

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

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 2

• Multiply both sides by 2

After converting the equation 4x + 5y = -30 to slope-intercept form, what is the slope?

• 4/5

• -4/5

• 5/4

• -6

What is the equation of a vertical line passing through x = -2?

• x = -2

• x = 2

• y = -2

• y = 2

What is the slope of a horizontal line?

• Undefined

• 0

• -1

• 1

If a line passes through the y-value of -4, what is the equation of this horizontal line?

• y = -4

• x = -4

• y = 4

• x = 4

What is the equation of a vertical line passing through x = 1?

• x = 1

• y = 1

• x = -1

• y = -1

What is the equation of a horizontal line passing through y = 3?

• x = -3

• x = 3

• y = 3

• y = -3