Answer:
Number graph ranging from negative three to three on the x axis and negative one to six on the y axis. A line is drawn on the graph that passes through the points (negative three, zero) and (zero, six).
Step-by-step explanation:
Simplified y-4 = 2(x + 1) ⇒ y = 2x + 6
Graphed function on desmos graphing calculator
Matched the through points of option #4, (-3, 0) and (0 ,6) to the graph.
Answer: D. "Number graph ranging from negative three to three on the x axis and negative two to four on the y axis. A line is drawn on the graph that passes through the points (negative one, zero) and (zero, four)."
Step-by-step explanation:
We know that our graph passes through two given sets of points, therefore we can plug in those points to find the correct answer.
Let's test it with choice A. It gives us the points (0,-6) and (3,0). We can plug these into the equation to see if it is true. y-4 = 2(x+1) becomes
-6-4 = 2(3+1), or -10 = 8 which is not true, so we can eliminate it.
Choice B gives us (0,-4) and (1,0) -4-4 = 2(0+1) or -8 = 2, this one is wrong.
Choice C gives us (-1,0), so 0-4 = 2(-1+1) or -4 = 0, this one is also wrong.
Choice D gives us (-3,0) so 0-4 = 2(-3+1) or -4 = -4. This is the only option which has a correct solution, and therefore it is your answer.
