which line would be flattest?
y = 5x -6
y = 5x + 6
y = x - 3
y = x + 3
To determine which line would be the flattest, we need to compare their slopes. The slope of a line determines its steepness. The flatter the line is, the smaller the slope value will be.
The slope-intercept form of a line is y = mx + b, where m represents the slope of the line. In this case, we can easily identify the slopes of the given lines.
1. y = 5x - 6: The slope of this line is 5.
2. y = 5x + 6: The slope of this line is also 5.
3. y = x - 3: The slope of this line is 1.
4. y = x + 3: The slope of this line is also 1.
Comparing the slopes, we can see that the lines with slopes of 1 (lines 3 and 4) are flatter than the lines with slopes of 5 (lines 1 and 2). Therefore, the flattest line would be y = x - 3 or y = x + 3.