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Question 46422: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
-x - y = -2
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! -x - y = -2 [Solve for y]
y = -x + 2
y = mx + b [Use the slope-intercept format]
y = any y value on the line
m = the slope of the line
x = any corresponding x value on the line
b = the y-interceprt (0, b). The point were the line crosses the y-axis.
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Slope = m = -1
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x-intercept: Use points (x, 0):
(0) = -x +2 [Plug-in (y=0)]
-2=-x [Solve for x]
2=x
x-intercept = (2, 0)
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y-intercept: Use points (0, b)
y = -(0) + 2 [Plug in (x = 0)]
y = 2 [solve for y]
y-intercept = (0, 2)
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Points of intercept: (2, 0) and (0, 2)
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