The equation -x-2y=0 is graphed in the xy-plane. Which of the following is a true statement about the graph? Choose 1 answer: (A) The graph goes through the point (-1,2). B The graph has a slope of 2 . (C) The graph goes through the point (0,0). D The graph has a slope of (1)/(2).

Question

The equation  -x-2y=0 is graphed in the  xy-plane. Which of the following is a true statement about the graph? Choose 1 answer: (A) The graph goes through the point  (-1,2). B The graph has a slope of 2 . (C) The graph goes through the point  (0,0). D The graph has a slope of  (1)/(2).

Bytelearn · Accepted Answer

Rewrite Equation: Rewrite the equation in slope-intercept form to find the slope and y-intercept. The equation given is -x - 2y = 0. To rewrite it in slope-intercept form (y = mx + b), we need to solve for y. Add x to both sides to get -2y = x. Now divide both sides by -2 to isolate y: y = (-1/2)x.Analyze Slope-Intercept Form: Analyze the slope-intercept form to determine the slope and y-intercept. From the equation y = (-1/2)x, we can see that the slope (m) is -1/2 and the y-intercept (b) is 0, which means the graph goes through the origin (0,0).Check Given Points: Check the given points and slopes against the slope-intercept form. (A) The graph goes through the point (-1,2). To check this, substitute x = -1 and y = 2 into the equation y = (-1/2)x. We get 2 = (-1/2)(-1) = 1/2, which is not true. So, option (A) is incorrect. (B) The graph has a slope of 2. This is not true because we found the slope to be -1/2. So, option (B) is incorrect. (C) The graph goes through the point (0,0). This is true because the y-intercept is 0, which means the graph goes through the origin. So, option (C) is correct. (D) The graph has a slope of (1)/(2). This is not true because we found the slope to be -1/2, not 1/2. So, option (D) is incorrect.

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