2
algebra

Find the equation of the line shown in the graph that passes through (0,1)(0, -1) and (2,0)(2, 0).

A

y=12x1y = \frac{1}{2}x - 1

B

y=2x1y = 2x - 1

C

y=12x+1y = \frac{1}{2}x + 1

D

y=2x1y = -2x - 1

Correct Answer: A

Choice A is the correct answer. Calculate slope and identify intercept.

  1. Y-intercept: The line crosses at (0,1)(0, -1), so b=1b = -1.
  2. Slope: Rise from -1 to 0 is +1+1. Run from 0 to 2 is +2+2. m=12m = \frac{1}{2}.
  3. Equation: y=12x1y = \frac{1}{2}x - 1.

💡 Strategic Tip: Check the steepness. A slope of 2 is steep; 1/2 is shallow.

Choice B is incorrect because the slope is too steep (2). Choice C is incorrect because the y-intercept is wrong. Choice D is incorrect because the slope is negative.