6
algebra

Identify the slope and a point on the line from the equation y+1=3(x2)y + 1 = 3(x - 2).

A

Slope: 33, Point: (2,1)(2, -1)

B

Slope: 33, Point: (2,1)(-2, 1)

C

Slope: 11, Point: (2,3)(2, 3)

D

Slope: 33, Point: (2,1)(-2, -1)

Correct Answer: A

Choice A is the correct answer. Read directly from point-slope form.

  1. Form: yy1=m(xx1)y - y_1 = m(x - x_1).
  2. Match: m=3m = 3, x1=2x_1 = 2, y1=1y_1 = -1 (since y(1)=y+1y - (-1) = y+1).
  3. Result: Slope 3, Point (2,1)(2, -1).

💡 Strategic Tip: Flip the signs of the numbers inside the equation to get the point coordinates.

Choice B is incorrect because it flips the signs incorrectly. Choice C is incorrect because it confuses variables. Choice D is incorrect because it flips the x-sign incorrectly.