Transforming Linear Equations: From Slope-Intercept to Standard Form

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

• y = mx + b

• y - y1 = m(x - x1)

• x = my + b

• ax + by = c

In the equation y = 2/3x + 4, what is the slope?

• 3/2

• 0

• 2/3

• 4

What is the y-intercept of the equation y = 2/3x + 4?

• 3

• 4

• 0

• 2/3

Which form is represented by the equation Y - y1 = m(X - x1)?

• Slope-intercept form

• Quadratic form

• Standard form

• Point-slope form

What is the point used in the point-slope form for the equation y = 2/3x + 4?

• (0, 4)

• (4, 0)

• (2, 3)

• (3, 2)

What is the first step in converting y = 2/3x + 4 to standard form?

• Divide by 2

• Subtract 2/3x from both sides

• Multiply by 3

• Add 2/3x to both sides

After subtracting 2/3x from both sides, what is the resulting equation?

• 2/3x + y = 4

• y - 2/3x = 4

• -2/3x + y = 4

• y = 4

What do we multiply by to eliminate the fraction in -2/3x + y = 4?

• -3

• 3

• 2

• -2

What is the standard form of the equation after multiplying by -3?

• 2x - 3y = -12

• -2x + 3y = 12

• 2x - 3y = 12

• 3x - 2y = 12

What is the final standard form of the equation y = 2/3x + 4?

• 3x + 2y = 12

• 2x + 3y = 12

• 3x - 2y = 12

• 2x - 3y = 12