Writing Linear Equations in Point-Slope Form

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

• y - y1 = m(x - x1)

• y = mx + b

• ax + by = c

• y = mx

In the point-slope form equation, which variables remain unchanged?

• x1 and y1

• x and y

• m and b

• a and b

If given the point (5, 6), what values would you substitute for x1 and y1 in the point-slope form?

• x1 = 6, y1 = 5

• x1 = -5, y1 = 6

• x1 = 5, y1 = -6

• x1 = 5, y1 = 6

What is the next step after substituting values into the point-slope form?

• Distribute the slope and solve for y

• Convert to standard form

• Find the y-intercept

• Solve for x

What is the slope-intercept form of the equation y + 3 = -2(x - 6)?

• y = -2x + 9

• y = -2x - 9

• y = 2x + 9

• y = 2x - 9

Given the point (6, -3) and slope -2, what is the point-slope form of the equation?

• y + 3 = -2(x - 6)

• y + 3 = 2(x + 6)

• y - 3 = -2(x + 6)

• y - 3 = 2(x - 6)

What is the slope-intercept form of the equation y - 0 = 1/3(x + 3)?

• y = 3x - 1

• y = 1/3x - 1

• y = 3x + 1

• y = 1/3x + 1

If the point is (-3, 0) and the slope is 1/3, what is the point-slope form of the equation?

• y + 0 = 1/3(x - 3)

• y - 0 = 1/3(x + 3)

• y + 0 = 1/3(x + 3)

• y - 0 = 1/3(x - 3)

What happens to the equation when y1 is zero in point-slope form?

• The x term is eliminated

• The y term is eliminated

• The equation remains the same

• The equation becomes undefined

What is the result of distributing the slope 1/3 in the equation y - 0 = 1/3(x + 3)?

• y = 1/3x + 3

• y = 1/3x - 1

• y = 1/3x + 1

• y = 1/3x - 3