determine if these are linear relationships or not.

y=2x-5

1 answer

The equation \( y = 2x - 5 \) is indeed a linear relationship.

In general, a linear relationship can be expressed in the form \( y = mx + b \), where:

  • \( m \) is the slope of the line,
  • \( b \) is the y-intercept.

In this case:

  • The slope \( m = 2 \),
  • The y-intercept \( b = -5 \).

Since this equation fits the linear form, it represents a straight line when graphed. Therefore, it is a linear relationship.