Understanding Linear Equations

What does the 'M' in the linear equation formula represent?

• The slope of the line

• The y-intercept

• The x-coordinate

• The y-coordinate

In the formula Y - y1 = M(X - x1), what does 'y1' represent?

• The slope

• A specific y-coordinate

• A specific x-coordinate

• The y-intercept

What does the formula Y - y1 = M(X - x1) help you find?

• The quadratic equation

• The linear equation

• The circle equation

• The hyperbola equation

How do you simplify the equation after distributing in the formula Y - y1 = M(X - x1)?

• Combine like terms

• Isolate the variable Y

• Apply the quadratic formula

• Factorize the equation

What is the result of simplifying the equation Y - 1 = 2(X - 4)?

• Y = 2X - 7

• Y = 2X - 8

• Y = 2X - 9

• Y = 2X - 6

What is the final form of the equation after simplifying Y - 4 = 1/2(X - 2)?

• Y = 1/2X + 2

• Y = 1/2X + 3

• Y = 1/2X + 4

• Y = 1/2X + 5

After distributing and simplifying the equation Y - 4 = 1/2(X - 2), what is the next step to isolate Y?

• Multiply both sides by 2

• Divide both sides by 2

• Add 4 to both sides

• Subtract 4 from both sides

What happens when you have a negative coefficient in the formula, such as -3/4 in Y + 1 = -3/4(X - 8)?

• It inverts the X values

• It decreases the slope

• It increases the slope

• It makes the slope negative

What is the correct simplification of Y + 1 = -3/4(X + 8)?

• Y = -3/4X - 8

• Y = -3/4X - 5

• Y = -3/4X - 6

• Y = -3/4X - 7

What should you do when you encounter two negatives in the formula, like in Y - (-1)?

• Leave as is

• Convert to a positive

• Multiply them

• Subtract them