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The slope-intercept form of a linear equation is represented by y=mx+b

. What does m
and b
represent?

Where the line crosses the y-axis is represented by
. (m or b?)
This is the initial value.

The slope of the line is represented by
. (m or b?)
This is the rate of change.

1 answer

In the slope-intercept form of a linear equation, \(y = mx + b\):

  • \(m\) represents the slope of the line, which is the rate of change. It indicates how much \(y\) changes for a one-unit increase in \(x\).

  • \(b\) represents the y-intercept of the line, which is where the line crosses the y-axis. This is the initial value, or the value of \(y\) when \(x\) is 0.

So, to fill in your statements:

  • Where the line crosses the y-axis is represented by b.
  • The slope of the line is represented by m.