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What is the meaning of negative coefficient of x?

In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.


What is the numerical coefficient of the term 4m2?

The numerical coefficient of the term (4m^2) is 4. The coefficient is the numerical factor that multiplies the variable part of the term, which in this case is (m^2).


How can you determine when a function is increasing or decreasing?

Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:[y = mx + b]Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).


How does a coefficient relate to a slope?

A coefficient in a linear equation represents the rate of change of the dependent variable with respect to the independent variable, which is essentially the slope of the line. In the equation of a line, typically expressed as (y = mx + b), the coefficient (m) indicates how much (y) changes for a one-unit increase in (x). Thus, the coefficient directly defines the steepness or direction of the slope: a positive coefficient indicates an upward slope, while a negative coefficient indicates a downward slope.


In what term gives the slope the slope-intercept equation for a line the coefficient?

The "slope-intercept" form of a line is an equation of the form:y = mx + b The "m" term - the coefficient you are asking for - is the slope of the line. The "b" is the y-intercept.