###### Asked by Marilyne Corwin in CalculusMath and Arithmetic

Calculus

Math and Arithmetic

# Why is finding the slope of a line important?

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## Related Questions

###### Asked in Geometry

### What is the slope formula?

###### Asked in Math and Arithmetic

### What is a slope of a graph?

Did you mean the slope of a line/parabola/etc.? A slope, in its
simplest terms, is how much a line angles away from the horizontal.
It describes the steepness, sense, and incline of a line.
Finding the slope of a line requires two distinct point ON a
line. It's given by the equation: a = (y2 - y1) / (x2 - x1) where
a is the slope, (x1,y1) are the coordinates of the first
point, and (x2,y2) the coordinates of the second point. An equation
for a straight line is usually represented as y = a*x + b; you
could extract the slope by simply looking at the given values of
a (the slope).
Finding the slope of a curve (parabola, etc.) is taken at the
tangent point. As you move along the curve, the slope changes (i.e
the slope is NOT constant). The slope of a curve can be found by
taking the derivative of the function that defines the curve. After
derivation, you just plug in the values of x at where you want to
find the slope at.

###### Asked in Math and Arithmetic

### How do you know when the slope of a line is negative?

You know when the slope of a line is negative when m in
the slope-intercept form equation y=mx+b is negative. For
example, y=-3x+2 has a negative slope since m (which
is -3 in this case) is negative. This is the same when finding a
positive slope, because if m is positive, then the slope is
positive.