Question

7x+2y=5

What is the slope of the line?

Answer 1

The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160\,\dfrac{\text{degrees}}{\text{min}^2}

What is the ride's acceleration rate in \dfrac{\text{degrees}}{\text{s}^2}

Answer 2

To find the slope of the line, we need to rewrite the equation in slope-intercept form: y = mx + b.

Given equation: 7x + 2y = 5
Rearrange the equation to isolate y:
2y = -7x + 5
y = (-7/2)x + (5/2)

The slope of the line is -7/2.

Answer 3

To convert the acceleration rate from degrees per minute squared to degrees per second squared, we need to divide the given acceleration rate by 60 (since there are 60 seconds in a minute).

Given acceleration rate: 2160 degrees per minute squared

Converting to degrees per second squared:
2160 / 60 = 36 degrees per second squared

Therefore, the amusement park ride's acceleration rate in degrees per second squared is 36 degrees per second squared.