1. Which line is the flattest (or is less steep)? Why?
y = 5x -6
y = 5x + 6
y = x - 3
y = x + 3
I think it's the last one!
Parallel lines have the same slope. The first two are parallel lines with the steepest slope; the last two are parallel lines as well and would both fit the answer to your question.
y=x+3
To determine which line is the flattest or has the least steepness, we need to compare the slopes of the given equations.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line.
1. The equation y = 5x - 6 has a slope of 5.
2. The equation y = 5x + 6 also has a slope of 5.
3. The equation y = x - 3 has a slope of 1.
4. The equation y = x + 3 also has a slope of 1.
Comparing the slopes, we can see that the last two equations (y = x - 3 and y = x + 3) have slopes of 1, which is smaller than the slopes of the first two equations.
Therefore, the line with the flattest or least steepness is given by the equations y = x - 3 and y = x + 3.