what is the gradient of the line y=5x-1

Question

what is the gradient of the line y=5x-1

Answer 1

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.

 

Other words for slope are grade, gradient, incline, rise, pitch, slant.

 

Slope is often called "rise over run" because it measures the increase in y-values divided by the increase in x-values.  Thus, a positive slope indicates a line getting bigger y-values as it gets bigger x-values (upward slope) and a negative slope indicates a line getting smaller y-values as it gets bigger x-values (downward slope).

 

The line y=5x-1 has m=slope=gradient=5,

so for each increase of 1 for x, y increases 5.