1. Which line is the flattest (or is less steep)? Why?
a.
To determine which line is the flattest, you need to consider the slopes of the lines. A line with a smaller slope is less steep and therefore flatter.
The slope of a line can be determined using the formula: slope = (change in y-coordinate) / (change in x-coordinate).
To compare the slopes of the lines, you need to calculate the slopes for each line and then compare them.
Once you have the equations of the lines, you can determine their slopes by comparing the coefficients of the x-term in each equation.
For example, if line a has an equation of y = 2x + 3 and line b has an equation of y = 3x - 1, you can see that the coefficient of x in line a is 2, while the coefficient of x in line b is 3.
Since 2 is smaller than 3, line a has a smaller slope and is therefore flatter than line b.
Remember, the smaller the slope, the flatter the line.