Graph the line with slope -1/2 passing through the point. (-3, -2)
(y - -2) / (x - -3) = - 1/2
(y+2)/(x+3) = -1/2
y+2 = -x/2 - 3/2
y = -x/2 - 7/2
2 y = -x - 7
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check
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2(-2) = - (-3) - 7
-4 = 3 - 7 sure enough
To graph the line with a slope of -1/2 passing through the point (-3, -2), you can follow these steps:
1. Plot the given point (-3, -2) on the Cartesian coordinate plane. Place a dot at this point.
2. To find a second point on the line, you can use the slope. Starting from the given point, move 1 unit horizontally to the right. Since the slope is -1/2, move 2 units vertically down. This will give you a new point on the line.
3. With the two points you have (the given point and the second point), draw a straight line passing through them. This line represents the graph of the equation.
Note: If you are exercising graphing on a grid or graphing software, ensure that you include enough surrounding points to make the line clear. It's also helpful to draw arrows at the ends of the line to indicate that it extends indefinitely.