154k views
3 votes
What is the slope of the following equation?

y = -30x + 270
A. m = 270
B. m = -30
C. m = -9
D. m = 0

1 Answer

1 vote

Final answer:

The slope of the equation y = -30x + 270 is -30, represented by the m term in the linear equation which indicates the rate at which y changes with respect to x.

Step-by-step explanation:

The question asks to determine the slope of the equation y = -30x + 270. In the context of slope and the algebra of straight lines, when looking at a linear equation in the form y = mx + b, the m term represents the slope of the line

This value m describes how much the line on the graph moves up or down on the y-axis for every change in the x-axis. In this equation, the coefficient of x is -30, which means the slope, or 'rise over run', is -30. Therefore, as the x value increases by 1, the y value decreases by 30, confirming that the slope of the given line is -30.

User Michael George
by
7.8k points