Question

Which of the following options correctly compares the slope of y = 2x + 7 and the slope of y = 4x - 2? Which slope would be steeper?

A) The slope of y = 2x + 7 is steeper.
B) The slope of y = 4x - 2 is steeper.
C) Both slopes are equal.
D) It is not possible to determine which slope is steeper without further information.

Answer 1

The slope of y = 2x + 7 is 2, and the slope of y = 4x - 2 is 4. Since the slope of the second equation is higher, y = 4x - 2 is the steeper line.

Step-by-step explanation:

The question asks to compare the slopes of two linear equations, specifically y = 2x + 7 and y = 4x - 2, to determine which one is steeper.

Looking at the coefficients of x in each equation, which represent the slope of the line, we can determine the steepness of the respective lines. The slope of y = 2x + 7 is 2, whereas the slope of y = 4x - 2 is 4. Recall that a higher absolute value of the slope indicates a steeper line. Hence, we can confirm that the slope of y = 4x - 2 is steeper.