Question

Select all of the equations that represent linear relationships.

1) 5 - 2y = 13
2) y = 7
3) y - 5 = 2(x - 1)
4) y = x
5) 7x = -4

Answer 1

Linear relationships can be represented by equations of the form y = mx + b. The equations that represent linear relationships are y = 7, y - 5 = 2(x - 1), and y = x.

Step-by-step explanation:

Linear relationships can be represented by equations of the form y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept. In the given options, the equations that represent linear relationships are:

1. 1) 5 - 2y = 13 is not a linear equation because it contains a variable on both sides of the equation.
2. 2) y = 7 is a linear equation because it represents a horizontal line with a slope of 0 and a y-intercept of 7.
3. 3) y - 5 = 2(x - 1) is a linear equation because it can be rewritten as y = 2x - 2 + 5, which is in the form y = mx + b.
4. 4) y = x is a linear equation because it represents a line with a slope of 1 and a y-intercept of 0.
5. 5) 7x = -4 is not a linear equation because it contains a variable multiplied by a constant on one side of the equation.