Question

Select the equation in which the slope equals 9 and the y-intercept equals -3. A.y- 9 = 3 + x B. y = -9x + 3 C. y = 2x - 9 D. y = 9x-3 E.None of the other answers are correct

Answer 1

D. y = 9x - 3 the slope 'm' is clearly 9, signifying the rate of change of y concerning x. Meanwhile, the y-intercept 'b' is -3, indicating the point at which the line crosses the y-axis.

Explanation:

This equation is in the form y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept. In the equation y = 9x - 3, the coefficient of x, which is 9, represents the slope, and the constant term -3 represents the y-intercept.

Hence, this equation satisfies both conditions where the slope equals 9 and the y-intercept equals -3. None of the other provided equations meet both criteria simultaneously.

In the equation y = 9x - 3, the slope 'm' is clearly 9, signifying the rate of change of y concerning x. Meanwhile, the y-intercept 'b' is -3, indicating the point at which the line crosses the y-axis. Consequently, this equation aligns with the specified slope and y-intercept values, distinguishing it as the correct solution among the options given.