Compare Functions

Question

Y= 8x -13 is this function decreasing or increasing, and compare the rates of change

Answer 1

The general form of a linear equation is y = mx + b, where 'm' is the slope and b is the y-intercept. The rate of change of a linear equation is constant and is determined by the slope. In this case, the gradient/slope is 8.

8 is positive, so the function is always increasing.

Answer 2

y = 8x -13 is the equation of a line in slop-intercept form, that is, y = mx + b

For an equation in this form, the rate of change is constant and is the slope = 8, which is positive, so

it's increasing.