Understanding Linear Equations in Slope-Intercept Form

The video tutorial explains how to convert a linear equation from standard form to slope-intercept form. It demonstrates solving for Y, identifying the slope and Y-intercept, and graphing the line using these elements. The tutorial concludes with a preview of a more complex example in the next video.

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

• Divide both sides by 3

• Multiply both sides by 2

• Add the x term to both sides

• Subtract the x term from both sides

After moving the x term, what is the next step to solve for y in the equation 2x + 3y = 6?

• Add 6 to both sides

• Multiply by 3

• Divide everything by 3

• Subtract 6 from both sides

What is the slope of the line when the equation is in the form y = -2/3x + 2?

• -3/2

• -2/3

• 2/3

• 3/2

How can the y-intercept be expressed in the equation y = -2/3x + 2?

• As the point (2, 3)

• As the point (0, -2)

• As the point (2, 0)

• As the point (0, 2)

What does the slope -2/3 indicate about the movement on the graph?

• Up 3 units, right 2 units

• Down 2 units, right 3 units

• Down 3 units, left 2 units

• Up 2 units, left 3 units

What is the y-intercept of the line y = -2/3x + 2?

• -2

• 2

• 0

• 3

Which point is used as the y-intercept when graphing the line?

• (0, 2)

• (3, 0)

• (0, 3)

• (2, 0)

What is the second point used to graph the line after the y-intercept?

• (0, -3)

• (0, 3)

• (3, 0)

• (2, 0)

How do you determine the second point on the line using the slope?

• Move up 2 units and right 3 units

• Move down 2 units and right 3 units

• Move down 3 units and left 2 units

• Move up 3 units and left 2 units

What is the significance of the slope in the equation y = -2/3x + 2?

• It represents the constant term

• It indicates the steepness and direction of the line

• It determines the y-intercept

• It shows the x-intercept