Exploring Linear Equations in Standard Form

Which form of linear equation is represented by y = mx + b?

• Point-slope form

• Quadratic form

• Standard form

• Slope-intercept form

What is the standard form of a linear equation?

• y - y1 = m(x - x1)

• y = mx + b

• x^2 + y^2 = r^2

• ax + by = c

In the equation y = 3x - 8, what is the slope?

• 3

• -8

• 8

• -3

How do you convert y = 3x - 8 to standard form?

• Add 8 to both sides

• Subtract 3x from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the standard form of the equation y - 7 = -5(x + 12)?

• 5x - y = 67

• y - 5x = 67

• 5x + y = 67

• y + 5x = 67

In the equation 3y + 5 = 4x - 36, what is the first step to convert it to standard form?

• Distribute the 4

• Subtract 5 from both sides

• Divide by 3

• Add 5 to both sides

What is the standard form of the equation 3y + 5 = 4x - 36?

• 4x + 3y = 41

• 3y - 4x = -41

• 3y + 4x = -41

• 4x - 3y = 41

How do you find the slope from the standard form equation 5x - 2y = 15?

• Divide by 5

• Add 2y to both sides

• Divide by -2

• Subtract 5x from both sides

What is the slope of the equation y = 2.5x - 7.5?

• 2.5

• -2.5

• 7.5

• -7.5

What is the y-intercept of the equation y = -1/2x + 25/6?

• -1/2

• 25/6

• 0

• 1/2