The given equation can be rearranged into slope-intercept form (y = mx + b) to determine the slope and y-intercept.
Starting with:
3x + 5y = 15
Subtracting 3x from both sides:
5y = -3x + 15
Dividing both sides by 5:
y = (-3/5)x + 3
The slope of the line is -3/5, and the y-intercept is 3.
To graph the line, begin by plotting the y-intercept at the point (0, 3). Then, use the slope to find additional points.
For each time x increases by 5, y decreases by 3, since the slope is -3/5. Starting from the y-intercept (0, 3), the next point can be found at (5, 0) – x increases by 5, and y decreases by 3.
Connecting the two points, and potentially extending the line in each direction, results in the graph of the equation 3x + 5y = 15.
Graph 3x+5y=15 using the slope and y-intercept.
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