Question

Which equation represents the real relationship between x and y?

a) y = 2x
b) x = y + 3
c) y = 3x - 5
d) x = 2y - 1

Answer 1

The equation that represents the real relationship between x and y is y = 3x - 5. A linear equation has the form y = mx + b, where m is the slope and b is the y-intercept. In this equation, the slope is 3 and the y-intercept is -5.

Step-by-step explanation:

The equation that represents the real relationship between x and y is c) y = 3x - 5.

A linear equation has the form y = mx + b, where m is the slope and b is the y-intercept. In this equation, the slope is 3 and the y-intercept is -5. This means that for every 1 unit increase in x, y increases by 3 units.

For example, if x = 2, then y = 3(2) - 5 = 6 - 5 = 1. So the point (2, 1) is on the line. Similarly, if x = -1, then y = 3(-1) - 5 = -3 - 5 = -8. So the point (-1, -8) is also on the line.