Question

HELP

Answer 1

the answer is c. but let me tell you why. the graph has to satisfy both equations right, so lets try going through each of them with one of the two equations. for instance lets look at the first option. The first option is (0,2) and (-2,0) so find the slope for that. the goal is to go through each of the choices and find each slope and make sure that the slope is equal to one, because in order to satisfy the second equation which is y = x -4 the slope here is one, because there is an "invisble" one so what it actually looks like is y = 1x -4 .so look at each of the coordinate pairs for each of the options and then find the slope for them. if you find one of them to be one, then you know that, that is a possible answer. do that for all of the 4 choices. You know that it has to be a circle and not a parabola because it is in the form of a circle equation. so you can cross out the last question. Then go through each of the choices again and then, make sure that the radius is 4 because you take the square root of 16. if you don't understand that let me know ill explain that deeper if you want me too. so then go through each of the options and make sure that the radius of each circle from the center to the circumference of the circle is 4 in both the x and y directions. then cross out the ones that don't have a radius of 4. you should be left with c because that is the only one that satisfies both equations. I know this is kind of a lot of information but let me know if you have questions. i'd be happy to help you:)