Which equation has the least steep graph?

Which equation has the least steep graph?

Answer

The equation with the least steep graph is the one with the smallest absolute value of slope.

Answer: The equation with the smallest absolute value of the slope coefficient.

Explanation:

The steepness of a graph, especially for linear equations, is determined by its slope ($m$). The smaller the absolute value of $m$, the less steep (flatter) the line appears.

Steps:

  1. Identify the slope ($m$) in each equation.
  2. Compare the absolute values of these slopes.
  3. The equation with the smallest $|m|$ has the least steep graph.

For example, if the options are:

  • $y = 2x + 3$ (slope $m=2$)
  • $y = -0.5x + 1$ (slope $m=-0.5$)
  • $y = x – 4$ (slope $m=1$)
  • $y = 0.1x + 5$ (slope $m=0.1$)

The least steep graph corresponds to the smallest $|m|$, which is $0.1$ in this case.

Therefore, the equation $y = 0.1x + 5$ has the least steep graph.


If you provide specific equations, I can compare them directly!