Question

What is the slope of `Y=2x-5`?

Answer 1

The slope is always the coefficient of (i.e., the number multiplied by) the independent variable, in this case `x`. The slope is therefore `2`.

Explanation:

The equation of a line can be expressed in the form

`y=mx+b`

The `y` is the dependent variable, because it's value depends on the independent variable `x`. Also, `m` is the slope of the line, and `b` is the intercept point . The slope, if the line is drawn on a Cartesian graph, is a measure of the "steepness" of that line. Positive values of `m` go "uphill" from left to right and negative values go "downhill" from left to right. Larger `m` values get closer and closer to a vertical line, where as the closer `m` gets to zero, the more horizontal it gets.

In your case, `y=2x-5`, the value `m` is replaced by a `2`, so the slope is `2`. On a graph, it would look like this:

graph{y=2x-5[-2,5,-7,5]}