Question

In the generalized slope-intercept equation of a line, the slope of the line is

represented as the coefficient of the variable x.
A. True
B. False

Answer 1

A. True

Explanation:

A generalized slope-intercept equation of a line is of the form:

`y=mx+b`

Where, 'm' is the slope of the line and 'b' is the y-intercept of the line.

The slope is the rate of change of 'y' with respect to changing 'x'. The slope of a line can be positive or negative.

If 'y' increases with 'x', slope is positive. If 'y' decreases with 'x', slope is negative.

In the above equation, the term that is multiplied to 'x' is called the coefficient of 'x'. Here, 'm' is multiplied to 'x'.

Therefore, the coefficient of 'x' in the above equation is 'm'. Thus, from the generalized equation, one can conclude that the coefficient of 'x' in the equation represents the slope of the line.

Hence, the statement is TRUE.