y=-4/5x+175

Question

Im looking for the rate of change of this equation

 

Answer 1

"rate of change" is another term for slope.  So are incline, grade/gradient, and slant.  Slope is sometimes called "rise over run" because it is the increase in y-values divided by the increase in x-values (so + means increasing y-values as x-values increase and - means decreasing y-values as x-values increase).  Bigger numbers mean steeper slope.

 

The slope-intercept form of the equation of a line is:  y-mx+b

   where m=slope and the point (0,b) is the y-intercept

 

For the equation:  y=-4/5x+175

  the rate of change (slope) is -4/5.

That means that the y-values decrease by 4 for each increase of 5 in the x-values.  On a graph, this line slants downward as you move to the right.

Answer 2

The general form of the equation of a line is y=mx+c, where m is the slope or rate of change.

 

Here,

The equation is y=(-4/5)x + 175, which is of the form y=mx+c.

 

So,

By comparing both the equations,

      m= -4/5

 

Thus, the rate of change is -4/5.

 

Answer 3

The rate of change is the slope of this linear function.  The rate of change is -4/5.