Understanding the Slope of a Linear Equation | Explaining the Coefficient of x and its Significance

y= -1/4x -2, what is the slope?

In the given equation, y = -1/4x – 2, the coefficient of x (-1/4) represents the slope of the line

In the given equation, y = -1/4x – 2, the coefficient of x (-1/4) represents the slope of the line.

The slope of a linear equation is a measure of the line’s steepness or inclination. It indicates how much the value of y changes for a given change in x.

In this case, since the coefficient of x is -1/4, the slope of the line is -1/4. This means that for every increase of 1 unit in the value of x, the value of y decreases by 1/4 unit.

Slope can also be interpreted as rise over run. In this case, for a run of 4 units (increase in x by 4), there is a downward rise of 1 unit (decrease in y by 1).

So, the slope of the given equation y = -1/4x – 2 is -1/4.

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