Understanding Point-Slope Form and Linear Equations

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

• y - y1 = m(x - x1)

• x = my + b

• Ax + By = C

• y = mx + b

In the point-slope form, what does 'm' represent?

• The y-intercept

• The y-coordinate of a point

• The slope of the line

• The x-coordinate of a point

Given m = -4 and point (-2, -3), what is the equation in point-slope form?

• y + 3 = 4(x + 2)

• y + 3 = -4(x + 2)

• y - 3 = -4(x - 2)

• y - 3 = 4(x - 2)

What is the slope-intercept form of the equation y + 3 = -4(x + 2)?

• y = -4x + 11

• y = -4x - 11

• y = 4x - 11

• y = 4x + 11

How do you convert y = -4x - 11 to standard form?

• 4x + y = -11

• -4x + y = 11

• 4x - y = 11

• -4x - y = -11

For m = 1/2 and point (2, 4), what is the point-slope form?

• y - 4 = 1/2(x - 2)

• y + 4 = 1/2(x + 2)

• y - 4 = 2(x - 1/2)

• y + 4 = 2(x + 1/2)

What is the slope-intercept form of the equation 2y - 8 = x - 2?

• y = x/2 + 3

• y = 2x + 3

• y = 2x - 3

• y = x/2 - 3

How do you convert 2y = x + 6 to standard form?

• -x + 2y = 6

• x + 2y = 6

• x - 2y = -6

• -x - 2y = -6

What is the first step in solving a point-slope equation with a fractional slope?

• Divide the entire equation by the numerator

• Add the fraction to both sides

• Multiply the entire equation by the denominator

• Subtract the fraction from both sides

What should you do to ensure the standard form has a positive x coefficient?

• Add 1 to the x term

• Multiply the equation by -1

• Subtract 1 from the y term

• Divide the equation by 2