How do you find the slope and y intercept of #f(x)=-2x-5#?

1 Answer
Dec 28, 2015

The slope equals -2 and the y-intercept equals -5


The first image that we need is that this function is decreasing as x rises. But, as a function, it needs a pattern: the slope. graph{-2x -5 [-10, 10, -7, 1]} We are able to see in the graph that Y changes its value while X rises, and the slope defines it.
In a first degree function, the slope is called "m" in the formula "f(x) = m . x + b", because it is always multiplying the value of x. The y-intercept is the point which the graph "touches" the vertical axis, and in the formula "f(x) = m . x + b", can be found easily as "b".
Taking this specific function, the slope would be "-2", and the y-intercept would be "-5".