9514 1404 393
Answer:
- y = -x +3
- y = x -3
- y = 3x +1
- y = -3x -3
Step-by-step explanation:
In each case, the slope can be found by counting the number of vertical grid squares for each horizontal grid square between points where the line crosses grid intersections. The ratio "rise"/"run" is the slope of the line, m.
The y-intercept, b, can be found as the y-value where the line crosses the y-axis.
These values go into the slope-intercept form of the equation for a line to give the equation you want:
y = mx + b
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1. Rise is -1 for a run of 1. The y-axis is crossed at 3.
y = -x +3
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2. Rise is 1 for a run of 1. The y-axis is crossed at -3.
y = x -3
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3. Rise is 3 for a run of 1. The y-axis is crossed at 1.
y = 3x +1
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4. Rise is -3 for a run of 1. The y-axis is crossed at -3.
y = -3x -3
