Question

Which of the following equations represent linear functions?

y=x2−3x

4x+y=5

y=|2x+1|

y=−5

Answer 1

Only the equations 4x + y = 5 and y = -5 represent linear functions, as they can be written in the form y = mx + b.

Step-by-step explanation:

The question asks which of the given equations represent linear functions. To qualify as a linear function, an equation must be able to be written in the form y = mx + b, where m is the slope and b is the y-intercept.

• y = x^2 - 3x is not linear because it has an x^2 term.
• 4x + y = 5 is linear because it can be rewritten as y = -4x + 5.
• y = |2x + 1| is not linear because of the absolute value, which can create a V-shaped graph.
• y = -5 is linear because it can be viewed as y = 0x - 5, with a slope of 0.

Hence, the given equations that represent linear functions are 4x + y = 5 and y = -5.

Answer 2

4x+y=5 or b is the correct answer:) Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.