Transforming Linear Equations: From Standard to Slope-Intercept and Point-Slope Forms

What are the two forms we want to convert the standard form into?

• Polar form and rectangular form

• Quadratic form and cubic form

• Point-slope form and slope-intercept form

• Exponential form and logarithmic form

What is the example equation given in standard form?

• 2x + 4y = 10

• 3x + 5y = 15

• x + y = 1

• 4x - 2y = 8

What is the first step in converting the standard form to slope-intercept form?

• Add 3x to both sides

• Divide both sides by 3

• Multiply both sides by 5

• Subtract 3x from both sides

What do you get after subtracting 3x from both sides of the equation 3x + 5y = 15?

• 5y = 3x + 15

• 3x = 5y - 15

• 5y = -3x + 15

• y = -3x + 15

What is the slope-intercept form of the equation 3x + 5y = 15?

• y = 5/3x + 3

• y = -5/3x + 3

• y = -3/5x + 3

• y = 3/5x + 3

What is the slope in the equation y = -3/5x + 3?

• -3/5

• -5/3

• 5/3

• 3/5

What is the y-intercept in the equation y = -3/5x + 3?

• (3, 0)

• (0, 3)

• (-3, 0)

• (0, -3)

What is the general form of the point-slope equation?

• y - y1 = m(x + x1)

• y + y1 = m(x + x1)

• y + y1 = m(x - x1)

• y - y1 = m(x - x1)

What is the point used in the point-slope form for the equation y = -3/5x + 3?

• (0, 3)

• (0, -3)

• (3, 0)

• (-3, 0)

What is the point-slope form of the equation y = -3/5x + 3?

• y + 3 = -3/5(x + 0)

• y - 3 = -3/5(x - 0)

• y + 3 = -3/5(x - 0)

• y - 3 = -3/5(x + 0)