1. which of the following statements best describes the graph of x + y = 4? it is a line which intersects the x-axis at (4, 4). it is a line which intersects the y-axis at (4, 4). it is a line joining the points whose x- and y-coordinates add up to 8. it is a line joining the points whose x- and y-coordinates add up to 4.

Problem 1

A is false because any point on the x axis will have y = 0
B is false because any point on the y axis will have x = 0
C is false; the coordinates add up to 4
D is the only thing left. It's true since x+y = 4 indicating that the coordinates add up to 4

choice D

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Problem 2

You're close but the answer is actually choice C. The shaded region is below the slanted line so we'll have a "less than or equal to" sign instead of a "greater than or equal to" sign for the first inequality.

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Problem 3

Using geogebra (see attached image) I'm getting the graph that matches with choice A

So it looks like you have the correct answer. Nice job.