2
algebra

Which equation represents the line shown in the graph with a y-intercept of 3 and an x-intercept of -3?

A

y=x+3y = x + 3

B

y=x+3y = -x + 3

C

y=x3y = x - 3

D

y=3x+3y = 3x + 3

Correct Answer: A

Choice A is the correct answer. Find the slope from the intercepts.

  1. Points: (0,3)(0, 3) and (3,0)(-3, 0).
  2. Slope: m=0330=33=1m = \frac{0 - 3}{-3 - 0} = \frac{-3}{-3} = 1.
  3. Y-intercept: b=3b = 3.
  4. Equation: y=1x+3y = 1x + 3, or y=x+3y = x + 3.

💡 Strategic Tip: A line crossing at (a,0)(a, 0) and (0,a)(0, a) always has a slope of 1 if signs match, or -1 if signs differ.

Choice B is incorrect because it has a negative slope. Choice C is incorrect because it has the wrong y-intercept. Choice D is incorrect because it has the wrong slope.