Question

question 7 of 10
the graph of a line goes down and to the right when:
a. the coefficient of x is positive.
b. the coefficient of x is 0.
c. the coefficient of x is negative.
d. there is no coefficient of x.

Explanation:

The slope of a line in the form \(y = mx + b\) (where \(m\) is the coefficient of \(x\)) determines its direction. A negative slope (\(m<0\)) means as \(x\) (the horizontal variable) increases (moves to the right), \(y\) (the vertical variable) decreases (moves down), so the line goes down and to the right. A positive slope would make the line go up and to the right, a slope of 0 gives a horizontal line, and "no coefficient of \(x\)" (which would mean \(m = 0\) or the line is vertical, but a vertical line has an undefined slope) does not result in a line going down and to the right.

Answer:

C. the coefficient of x is negative.